# RD Sharma solutions for Class 10 Maths chapter 16 - Probability [Latest edition]

#### Chapters ## Chapter 16: Probability

Exercise 16.1Exercise 16.2Exercise 16.3Exercise 16.4
Exercise 16.1 [Pages 20 - 26]

### RD Sharma solutions for Class 10 Maths Chapter 16 Probability Exercise 16.1 [Pages 20 - 26]

Exercise 16.1 | Q 1 | Page 20

The probability that it will rain tomorrow is 0.85. What is the probability that it will not rain tomorrow?

Exercise 16.1 | Q 2.2 | Page 20

A die is thrown. Find the probability of getting 2 or 4

Exercise 16.1 | Q 2.3 | Page 20

A die is thrown. Find the probability of getting a multiple of 2 or 3

Exercise 16.1 | Q 2.4 | Page 20

A die is thrown. Find the probability of getting an even prime number

Exercise 16.1 | Q 2.5 | Page 20

A die is thrown. Find the probability of getting a number greater than 5

Exercise 16.1 | Q 2.6 | Page 20

A die is thrown once. Find the probability of getting a number lying between 2 and 6;

Exercise 16.1 | Q 3.1 | Page 20

Three different coins are tossed together. Find the probability of getting exactly two heads.

Exercise 16.1 | Q 3.2 | Page 20

Three different coins are tossed together. Find the probability of getting at least two heads.

Exercise 16.1 | Q 3.3 | Page 20

Three coins are tossed together. Find the probability of getting at least one head and one tail

Exercise 16.1 | Q 3.4 | Page 20

Three coins are tossed together. Find the probability of getting no tails

Exercise 16.1 | Q 4 | Page 20

A and B throw a pair of dice. If A throws 9, find B’s chance of throwing a higher number.

Exercise 16.1 | Q 5 | Page 20

Two unbiased dice are thrown. Find the probability that the total of the numbers on the dice
is greater than 10.

Exercise 16.1 | Q 6.01 | Page 20

A card is drawn at random from a well-shuffled deck of playing cards. Find the probability that the card drawn is a black king.

Exercise 16.1 | Q 6.02 | Page 20

A card is drawn at random from a pack of 52 cards. Find the probability that card drawn is either a black card or a king

Exercise 16.1 | Q 6.03 | Page 20

A card is drawn at random from a pack of 52 cards. Find the probability that card drawn is black and a king

Exercise 16.1 | Q 6.04 | Page 20

A card is drawn at random from a pack of 52 cards. Find the probability that card drawn is a jack, queen or a king

Exercise 16.1 | Q 6.05 | Page 20

A card is drawn at random from a pack of 52 cards. Find the probability that card drawn is neither a heart nor a king

Exercise 16.1 | Q 6.06 | Page 20

A card is drawn at random from a well-shuffled deck of playing cards. Find the probability that the card drawn is a card of spade or an ace.

Exercise 16.1 | Q 6.07 | Page 20

A card is drawn at random from a pack of 52 cards. Find the probability that card drawn is neither an ace nor a king

Exercise 16.1 | Q 6.08 | Page 20

A card is drawn at random from a well shuffled pack of 52 playing cards. Find the probability of getting neither a red card nor a queen.

Exercise 16.1 | Q 6.09 | Page 20

A card is drawn at random from a pack of 52 cards. Find the probability that card drawn is other than an ace

Exercise 16.1 | Q 6.1 | Page 20

A card is drawn at random from a pack of 52 cards. Find the probability that card drawn is a ten

Exercise 16.1 | Q 6.11 | Page 20

One card is drawn from a well-shuffled deck of 52 cards. Find the probability of getting a spade.

Exercise 16.1 | Q 6.12 | Page 20

A card is drawn at random from a pack of 52 cards. Find the probability that card drawn is a black card

Exercise 16.1 | Q 6.13 | Page 20

A card is drawn at random from a pack of 52 cards. Find the probability that card drawn is the seven of clubs

Exercise 16.1 | Q 6.14 | Page 20

A card is drawn at random from a pack of 52 cards. Find the probability that card drawn is jack

Exercise 16.1 | Q 6.15 | Page 20

A card is drawn at random from a pack of 52 cards. Find the probability that card drawn is the ace of spades

Exercise 16.1 | Q 6.16 | Page 20

A card is drawn at random from a pack of 52 cards. Find the probability that card drawn is a queen

Exercise 16.1 | Q 6.17 | Page 20

A card is drawn at random from a pack of 52 cards. Find the probability that card drawn is a heart

Exercise 16.1 | Q 6.18 | Page 20

A card is drawn at random from a pack of 52 cards. Find the probability that card drawn is a red card

Exercise 16.1 | Q 7 | Page 21

In a lottery of 50 tickets numbered 1 to 50, one ticket is drawn. Find the probability that the
drawn ticket bears a prime number.

Exercise 16.1 | Q 8 | Page 21

An urn contains 10 red and 8 white balls. One ball is drawn at random. Find the probability
that the ball drawn is white.

Exercise 16.1 | Q 9.2 | Page 21

A bag contains 3 red balls, 5 black balls and 4 white balls. A ball is drawn at random from the bag. What is the probability that the ball drawn is Red

Exercise 16.1 | Q 9.3 | Page 21

A bag contains 3 red balls, 5 black balls and 4 white balls. A ball is drawn at random from the bag. What is the probability that the ball drawn is Black

Exercise 16.1 | Q 9.4 | Page 21

A bag contains 3 red balls, 5 black balls and 4 white balls. A ball is drawn at random from the bag. What is the probability that the ball drawn is Not red

Exercise 16.1 | Q 10 | Page 21

What is the probability that a number selected from the numbers 1, 2, 3, ..., 15 is a multiple
of 4?

Exercise 16.1 | Q 11 | Page 21

A bag contains 5 white and 7 red balls. One ball is drawn at random. What is the probability that ball drawn is not black?

Exercise 16.1 | Q 12 | Page 21

A bag contains 6 red, 8 black and 4 white balls. A ball is drawn at random. What is the probability that ball drawn is not black?

Exercise 16.1 | Q 13 | Page 21

Tickets numbered from 1 to 20 are mixed up and a ticket is drawn at random. What is the probability that the ticket drawn has a number which is a multiple of 3 or 7?

Exercise 16.1 | Q 14 | Page 21

In a lottery there are 10 prizes and 25 blanks. What is the probability of getting a prize?

Exercise 16.1 | Q 15 | Page 21

A bag contains 5 white and 7 red balls. One ball is drawn at random. What is the
probability that ball drawn is white?

Exercise 16.1 | Q 15 | Page 21

If the probability of winning a game is 0.3, what is the probability of losing it?

Exercise 16.1 | Q 16.1 | Page 21

A bag contains 5 black, 7 red and 3 white balls. A ball is drawn from the bag at random. Find the probability that the ball drawn is Red

Exercise 16.1 | Q 16.2 | Page 21

A bag contains 5 black, 7 red and 3 white balls. A ball is drawn from the bag at random. Find the probability that the ball drawn is black or white

Exercise 16.1 | Q 16.3 | Page 21

Cards numbered 1 to 30 are put in a bag. A card is drawn at random from this bag. Find the probability that the number on the drawn card is not a perfect square number

Exercise 16.1 | Q 16.3 | Page 21

A bag contains 5 black, 7 red and 3 white balls. A ball is drawn from the bag at random. Find the probability that the ball drawn is not black

Exercise 16.1 | Q 17.1 | Page 21

A bag contains 4 red, 5 black and 6 white balls. A ball is drawn from the bag at random. Find the probability that the ball drawn is White

Exercise 16.1 | Q 17.2 | Page 21

A bag contains 4 red, 5 black and 6 white balls. A ball is drawn from the bag at random. Find the probability that the ball drawn is Red

Exercise 16.1 | Q 17.3 | Page 21

A bag contains 4 red, 5 black and 6 white balls. A ball is drawn from the bag at random. Find the probability that the ball drawn is Not black

Exercise 16.1 | Q 17.4 | Page 21

A bag contains 4 red, 5 black and 6 white balls. A ball is drawn from the bag at random. Find the probability that the ball drawn is Red or white

Exercise 16.1 | Q 18.1 | Page 21

One card is drawn from a well shuffled deck of 52 cards. Find the probability of getting a king of red suit

Exercise 16.1 | Q 18.2 | Page 21

One card is drawn from a well shuffled deck of 52 cards. Find the probability of getting a face card

Exercise 16.1 | Q 18.3 | Page 21

One card is drawn from a well shuffled deck of 52 cards. Find the probability of getting a red face card

Exercise 16.1 | Q 18.4 | Page 21

One card is drawn from a well shuffled deck of 52 cards. Find the probability of getting a queen of black suit

Exercise 16.1 | Q 18.5 | Page 21

One card is drawn from a well shuffled deck of 52 cards. Find the probability of getting a jack of hearts

Exercise 16.1 | Q 18.6 | Page 21

One card is drawn from a well shuffled deck of 52 cards. Find the probability of getting a spade

Exercise 16.1 | Q 19.1 | Page 21

Five cards, the ten, jack, queen, king and ace of diamonds, are well-shuffled with their face downwards. One card is then picked up at random. What is the probability that the card is the queen?

Exercise 16.1 | Q 19.2 | Page 21

Five cards—ten, jack, queen, king, and an ace of diamonds are shuffled face downwards.One card is picked at random If a king is drawn first and put aside, what is the probability that the second card picked up is the ace?

Exercise 16.1 | Q 20.1 | Page 21

A bag contains 3 red balls and 5 black balls. A ball is drawn at random from the bag. What is the probability that the ball drawn is red?

Exercise 16.1 | Q 20.2 | Page 21

A bag contains 3 red balls and 5 black balls. A ball is drawn at random from the bag. What is the probability that the ball drawn is Black

Exercise 16.1 | Q 21.1 | Page 21

A black die and a white die are thrown at the same time. Write all the possible outcomes. What is the probability? that the sum of the two numbers that turn up is 8?

Exercise 16.1 | Q 21.1 | Page 21

A game of chance consists of spinning an arrow which is equally likely to come to rest pointing to one of the number, 1, 2, 3, ..., 12 as shown in Fig. below. What is the probability that it will point to 10? Exercise 16.1 | Q 21.2 | Page 21

A black die and a white die are thrown at the same time. Write all the possible outcomes. What is the probability? of obtaining a total of 6?

Exercise 16.1 | Q 21.2 | Page 21

A game of chance consists of spinning an arrow which is equally likely to come to rest pointing to one of the number, 1, 2, 3, ..., 12 as shown in Fig. below. What is the probability that it will point to an odd number? Exercise 16.1 | Q 21.3 | Page 21

A game of chance consists of spinning an arrow which is equally likely to come to rest
pointing to one of the number, 1, 2, 3, ..., 12 as shown in Fig. below. What is the
probability that it will point to a number which is multiple of 3? Exercise 16.1 | Q 21.3 | Page 21

A black die and a white die are thrown at the same time. Write all the possible outcomes. What is the probability of obtaining a total of 10?

Exercise 16.1 | Q 21.4 | Page 21

A black die and a white die are thrown at the same time. Write all the possible outcomes. What is the probability? of obtaining the same number on both dice?

Exercise 16.1 | Q 21.4 | Page 21

A game of chance consists of spinning an arrow which is equally likely to come to rest
pointing to one of the number, 1, 2, 3, ..., 12 as shown in Fig. below. What is the
probability that it will point to an even number? Exercise 16.1 | Q 21.5 | Page 21

A black die and a white die are thrown at the same time. Write all the possible outcomes. What is the probability of obtaining a total more than 9?

Exercise 16.1 | Q 21.6 | Page 21

A black die and a white die are thrown at the same time. Write all the possible outcomes. What is the probability that the sum of the two numbers appearing on the top of the dice is 13?

Exercise 16.1 | Q 21.7 | Page 21

A black die and a white die are thrown at the same time. Write all the possible outcomes. What is the probability that the sum of the numbers appearing on the top of the dice is less than or equal to 12?

Exercise 16.1 | Q 22.1 | Page 22

In a class, there are 18 girls and 16 boys. The class teacher wants to choose one pupil form class monitor. What she does, she writes the name of each pupil on a card and puts them into a basket and mixes thoroughly. A child is asked to pick one card from the basket. What is the probability that the name written on the card is the name of a girl?

Exercise 16.1 | Q 22.2 | Page 22

In a class, there are 18 girls and 16 boys. The class teacher wants to choose one pupil for class monitor. What she does, she writes the name of each pupil on a card and puts them into a basket and mixes thoroughly. A child is asked to pick one card from the basket. What is the probability that the name written on the card is the name of a boy?

Exercise 16.1 | Q 23 | Page 22

Why is tossing a coin considered to be a fair way of deciding which team should choose ends in a game of cricket?

Exercise 16.1 | Q 24 | Page 22

What is the probability that a number selected at random from the number 1,2,2,3,3,3, 4, 4, 4, 4 will be their average?

Exercise 16.1 | Q 25 | Page 22

There are 30 cards, of same size, in a bag on which numbers 1 to 30 are written. One card is taken out of the bag at random. Find the probability that the number on the selected card is not divisible by 3.

Exercise 16.1 | Q 25.1 | Page 22

A bag contains cards which are numbered from 2 to 90. A card is drawn at random from the bag. Find the probability that it bears a two digit number

Exercise 16.1 | Q 25.2 | Page 22

A bag contains cards which are numbered from 2 to 90. A card is drawn at random from the bag. Find the probability that it bears a number which is a perfect square

Exercise 16.1 | Q 26.1 | Page 22

A bag contains 5 red, 8 white and 7 black balls. A ball is drawn at random from the bag. Find the probability that the drawn ball is red or white

Exercise 16.1 | Q 26.2 | Page 22

A bag contains 5 red, 8 white and 7 black balls. A ball is drawn at random from the bag. Find the probability that the drawn ball is not black

Exercise 16.1 | Q 26.3 | Page 22

A bag contains 5 red, 8 white and 7 black balls. A ball is drawn at random from the bag. Find the probability that the drawn ball is neither white nor black.

Exercise 16.1 | Q 27 | Page 22

Find the probability that a number selected from the number 1 to 25 is not a prime number when each of the given numbers is equally likely to be selected.

Exercise 16.1 | Q 27.1 | Page 22

Two customers are visiting a particular shop in the same week (Monday to Saturday). Each is equally likely to visit the shop on any one day as on another. What is the  robability that both will visit the shop on the same day?

Exercise 16.1 | Q 27.2 | Page 22

Two customers are visiting a particular shop in the same week (Monday to Saturday). Each is equally likely to visit the shop on any one day as on another. What is the probability that both will visit the shop on different days?

Exercise 16.1 | Q 27.3 | Page 22

Two customers are visiting a particular shop in the same week (Monday to Saturday). Each is equally likely to visit the shop on any one day as on another. What is the probability that both will visit the shop on consecutive days?

Exercise 16.1 | Q 28.1 | Page 22

A bag contains 8 red, 6 white and 4 black balls. A ball is drawn at random from the bag. Find the probability that the drawn ball is Red or white

Exercise 16.1 | Q 28.2 | Page 22

A bag contains 8 red, 6 white and 4 black balls. A ball is drawn at random from the bag. Find the probability that the drawn ball is Not black

Exercise 16.1 | Q 28.3 | Page 22

A bag contains 8 red, 6 white and 4 black balls. A ball is drawn at random from the bag. Find the probability that the drawn ball is Neither white nor black

Exercise 16.1 | Q 29.1 | Page 22

Find the probability that a number selected at random from the numbers 1, 2, 3, ..., 35 is a Prime number

Exercise 16.1 | Q 29.2 | Page 22

Find the probability that a number selected at random from the numbers 1, 2, 3, ..., 35 is a Multiple of 7

Exercise 16.1 | Q 29.3 | Page 22

Find the probability that a number selected at random from the numbers 1, 2, 3, ..., 35 is a Multiple of 3 or 5

Exercise 16.1 | Q 30.1 | Page 22

From a pack of 52 playing cards Jacks, queens, kings and aces of red colour are removed. From the remaining, a card is drawn at random. Find the probability that the card drawn is A black queen

Exercise 16.1 | Q 30.2 | Page 22

From a pack of 52 playing cards Jacks, queens, kings and aces of red colour are removed. From the remaining, a card is drawn at random. Find the probability that the card drawn is A red card

Exercise 16.1 | Q 30.3 | Page 22

From a pack of 52 playing cards Jacks, queens, kings and aces of red colour are removed. From the remaining, a card is drawn at random. Find the probability that the card drawn is A black jack

Exercise 16.1 | Q 30.4 | Page 22

From a pack of 52 playing cards Jacks, queens, kings and aces of red colour are removed. From the remaining, a card is drawn at random. Find the probability that the card drawn is a picture card (Jacks, queens and kings are picture cards)

Exercise 16.1 | Q 31 | Page 22

The faces of a red cube and a yellow cube are numbered from 1 to 6. Both cubes are rolled. What is the probability that the top face of each cube will have the same number?

Exercise 16.1 | Q 31.1 | Page 22

A bag contains lemon flavoured candies only. Malini takes out one candy without looking into the bag. What is the probability that she takes out an orange flavoured candy?

Exercise 16.1 | Q 31.2 | Page 22

A bag contains lemon flavoured candies only. Malini takes out one candy without looking into the bag. What is the probability that she takes out a lemon flavoured candy?

Exercise 16.1 | Q 32 | Page 23

The probability of selecting a green marble at random from a jar that contains only green, white and yellow marbles is 1/4  The probability of selecting a white marble at random from  the same jar is 1/3  If this jar contains 10 yellow marbles. What is the total number of marbles in the jar?

Exercise 16.1 | Q 32 | Page 23

It is given that m a group of 3 students, the probability of 2 students not having the same birthday is 0.992. What is the probability that the 2 students have the same birthday?

Exercise 16.1 | Q 33.1 | Page 23

A bag contains 3 red balls and 5 black balls. A ball is draw at random from the bag. What is the probability that the ball drawn is red?

Exercise 16.1 | Q 33.2 | Page 23

A bag contains 3 red balls and 5 black balls. A ball is draw at random from the bag. What is the probability that the ball drawn is  not red?

Exercise 16.1 | Q 34.1 | Page 23

A box contains 5 red marbels, 8 white marbles and 4 green marbles, One marble is taken out of the box at ramdom. What is the probability that the marble taken out will be  red?

Exercise 16.1 | Q 34.2 | Page 23

A box contains 5 red marbels, 8 white marbles and 4 green marbles, One marble is taken out of the box at ramdom. What is the probability that the marble taken out will be white?

Exercise 16.1 | Q 34.3 | Page 23

A box contains 5 red marbels, 8 white marbles and 4 green marbles, One marble is taken out of the box at ramdom. What is the probability that the marble taken out will be  not green?

Exercise 16.1 | Q 35.1 | Page 23

A lot consists of 144 ball pens of which 20 are defective and the others are good. Nuri will buy a pen if it is good, but will not buy if it is defective. The shopkeeper draws one pen at random and gives it to her. What is the probability that She will buy it?

Exercise 16.1 | Q 35.2 | Page 23

A lot consists of 144 ball pens of which 20 are defective and the others are good. Nuri will buy a pen if it is good, but will not buy if it is defective. The shopkeeper draws one pen at random and gives it to her. What is the probability that She will not buy it?

Exercise 16.1 | Q 36 | Page 23

12 defective pens are accidently mixed with 132 good ones. It is not possible to just look at pen and tell whether or not it is defective. one pen is taken out at random from this lot. Determine the probability that the pen taken out is good one.

Exercise 16.1 | Q 37.1 | Page 23

Five cards − the ten, jack, queen, king and ace of diamonds, are well-shuffled with their face downwards. One card is then picked up at random.

What is the probability that the card is the queen?

Exercise 16.1 | Q 37.2 | Page 23

Five cards − the ten, jack, queen, king and ace of diamonds, are well-shuffled with their face downwards. One card is then picked up at random.

If the queen is drawn and put a side, what is the probability that the second card picked up is (a) an ace? (b) a queen?

Exercise 16.1 | Q 38 | Page 23

Harpreet tosses two different coins simultaneously (say, one is of Re 1 and other of Rs 2). What is the probability that he gets at least one head?

Exercise 16.1 | Q 39.1 | Page 23

Cards marked with numbers 13, 14, 15, ...., 60 are placed in a box and mixed thoroughly.One card is drawn at random from the box. Find the probability that number on the card drawn is divisible by 5

Exercise 16.1 | Q 39.2 | Page 23

Cards marked with numbers 13, 14, 15, ...., 60 are placed in a box and mixed thoroughly.One card is drawn at random from the box. Find the probability that number on the card drawn is a number is a perfect square

Exercise 16.1 | Q 40.1 | Page 23

A bag contains tickets numbered 11, 12, 13,..., 30. A ticket is taken out from the bag at random. Find the probability that the number on the drawn ticket is a multiple of 7

Exercise 16.1 | Q 40.2 | Page 23

A bag contains tickets numbered 11, 12, 13,..., 30. A ticket is taken out from the bag at random. Find the probability that the number on the drawn ticket is greater than 15 and a multiple of 5.

Exercise 16.1 | Q 41.1 | Page 23

Fill in blank:

Probability of a sure event is...........

Exercise 16.1 | Q 41.2 | Page 23

Fill in blank:

Probability of an impossible event is...........

Exercise 16.1 | Q 41.3 | Page 23

Fill in blank:

The probability of an event (other than sure and impossible event) lies between……

Exercise 16.1 | Q 41.4 | Page 23

Fill in blank:

Every elementary event associated to a random experiment has........... probability.

Exercise 16.1 | Q 41.5 | Page 23

Fill in blank:

Probability of an event A + Probability of event ‘not A’ ...........

Exercise 16.1 | Q 41.6 | Page 23

Fill in blank:

Sum of the probabilities of each outcome m an experiment is ..........

Exercise 16.1 | Q 42.1 | Page 23

Examine the following statement and comment:

If two coins are tossed at the same time, there are 3 possible outcomes—two heads,
two tails, or one of each. Therefore, for each outcome, the probability of occurrence
is 1/3

Exercise 16.1 | Q 42.2 | Page 23

Examine the following statement and comment:

If a die is thrown once, there are two possible outcomes—an odd number or an
even number. Therefore, the probability of obtaining an odd number is 1 /2 and the
probability of obtaining an even number is 1/2
.

Exercise 16.1 | Q 43.1 | Page 23

A box contains 90 discs which are numbered from 1 to 90. If one disc is drawn at random from the box, find the probability that it bears a two-digit number

Exercise 16.1 | Q 43.1 | Page 23

A box contains loo red cards, 200 yellow cards and 50 blue cards. If a card is drawn at random from the box, then find the probability that it will be a blue card

Exercise 16.1 | Q 43.2 | Page 23

A box contains 90 discs which are numbered from 1 to 90. If one disc is drawn at random from the box, find the probability that it bears a perfect square number

Exercise 16.1 | Q 43.2 | Page 23

A box contains loo red cards, 200 yellow cards and 50 blue cards. If a card is drawn at random from the box, then find the probability that it will be not a yellow card

Exercise 16.1 | Q 43.3 | Page 23

A box contains 90 discs which are numbered from 1 to 90. If one disc is drawn at random from the box, find the probability that it bears a number divisible by 5.

Exercise 16.1 | Q 43.3 | Page 23

A box contains loo red cards, 200 yellow cards and 50 blue cards. If a card is drawn at random from the box, then find the probability that it will be neither yellow nor a blue card.

Exercise 16.1 | Q 44 | Page 24

A box contains cards numbered 3, 5, 7, 9, ..., 35, 37. A card is drawn at random form the box. Find the probability that the number on the drawn card is a prime number.

Exercise 16.1 | Q 45.1 | Page 24

A group consists of 12 persons, of which 3 are extremely patient, other 6 are extremely honest and rest are extremely kind. A person form the group is selected at random. Assuming that each person is equally likely to be selected, find the probability of selecting a person who is extremely patient

Exercise 16.1 | Q 45.2 | Page 24

A group consists of 12 persons, of which 3 are extremely patient, other 6 are extremely honest and rest are extremely kind. A person form the group is selected at random. Assuming that each person is equally likely to be selected, find the probability of selecting a person who is  extremely kind or honest. Which of the above you prefer more.

Exercise 16.1 | Q 46.1 | Page 24

Cards numbered 1 to 30 are put in a bag. A card is drawn at random from this bag. Find the probability that the number on the drawn card is not divisible by 3

Exercise 16.1 | Q 46.2 | Page 24

Cards numbered 1 to 30 are put in a bag. A card is drawn at random from this bag. Find the probability that the number on the drawn card is a prime number greater than 7

Exercise 16.1 | Q 47.1 | Page 24

A piggy bank contains hundred 50 paise coins, fifity ₹1 coins, twenty ₹2 coins and ten ₹5 coins. If it is equally likely that one of the coins will fall out when the bank is turned upside down, find the probability that the coin which fell will be a 50 paise coin

Exercise 16.1 | Q 47.2 | Page 24

A piggy bank contains hundred 50 paise coins, fifity ₹1 coins, twenty ₹2 coins and ten ₹5 coins. If it is equally likely that one of the coins will fall out when the bank is turned upside down, find the probability that the coin which fell  will be of value more than ₹1

Exercise 16.1 | Q 47.3 | Page 24

A piggy bank contains hundred 50 paise coins, fifity ₹1 coins, twenty ₹2 coins and ten ₹5 coins. If it is equally likely that one of the coins will fall out when the bank is turned upside down, find the probability that the coin which fell will be of value less than ₹5

Exercise 16.1 | Q 47.4 | Page 24

A piggy bank contains hundred 50 paise coins, fifity ₹1 coins, twenty ₹2 coins and ten ₹5 coins. If it is equally likely that one of the coins will fall out when the bank is turned upside down, find the probability that the coin which fell  will be a ₹1 or ₹2 coin

Exercise 16.1 | Q 48.1 | Page 24

A bag contains cards numbered from 1 to 49. A card is drawn from the bag at random, after mixing the card thoroughly. Find the probability that the number on the drawn card is an odd number

Exercise 16.1 | Q 48.2 | Page 24

A bag contains cards numbered from 1 to 49. A card is drawn from the bag at random, after mixing the card thoroughly. Find the probability that the number on the drawn card is  a multiple of 5

Exercise 16.1 | Q 48.3 | Page 24

A bag contains cards numbered from 1 to 49. A card is drawn from the bag at random, after mixing the card thoroughly. Find the probability that the number on the drawn card is  a perfect square

Exercise 16.1 | Q 48.4 | Page 24

A bag contains cards numbered from 1 to 49. A card is drawn from the bag at random, after mixing the card thoroughly. Find the probability that the number on the drawn card is an even prime number

Exercise 16.1 | Q 49.1 | Page 24

A box contains 20 cards numbered from 1 to 20. A card is drawn at random from the box. Find the probability that the number on the drawn card is divisible by 2 or 3

Exercise 16.1 | Q 49.2 | Page 24

A box contains 20 cards numbered from 1 to 20. A card is drawn at random from the box. Find the probability that the number on the drawn card is a prime number

Exercise 16.1 | Q 50.01 | Page 24

In a simultaneous throw of a pair of dice, find the probability of getting 8 as the sum

Exercise 16.1 | Q 50.02 | Page 24

In a simultaneous throw of a pair of dice, find the probability of getting a doublet

Exercise 16.1 | Q 50.03 | Page 24

In a simultaneous throw of a pair of dice, find the probability of getting a doublet of prime numbers

Exercise 16.1 | Q 50.04 | Page 24

In a simultaneous throw of a pair of dice, find the probability of getting a doublet of odd numbers

Exercise 16.1 | Q 50.05 | Page 24

In a simultaneous throw of a pair of dice, find the probability of getting a sum greater than 9

Exercise 16.1 | Q 50.06 | Page 24

In a simultaneous throw of a pair of dice, find the probability of getting an even number on first

Exercise 16.1 | Q 50.07 | Page 24

In a simultaneous throw of a pair of dice, find the probability of getting an even number on one and a multiple of 3 on the other

Exercise 16.1 | Q 50.08 | Page 24

In a simultaneous throw of a pair of dice, find the probability of getting neither 9 nor 1 1 as the sum of the numbers on the faces

Exercise 16.1 | Q 50.09 | Page 24

In a simultaneous throw of a pair of dice, find the probability of getting a sum less than 6

Exercise 16.1 | Q 50.1 | Page 24

Two different dice are thrown together. Find the probability that the numbers obtained have a sum less than 7

Exercise 16.1 | Q 50.11 | Page 24

In a simultaneous throw of a pair of dice, find the probability of getting a sum more than 7

Exercise 16.1 | Q 50.12 | Page 24

In a simultaneous throw of a pair of dice, find the probability of getting 1 at least once

Exercise 16.1 | Q 50.13 | Page 24

In a simultaneous throw of a pair of dice, find the probability of getting a number other than 5 on any dice.

Exercise 16.1 | Q 51 | Page 24

What is the probability that an ordinary year has 53 Sundays?

Exercise 16.1 | Q 52 | Page 24

What is the probability that a leap year has 53 Sundays and 53 Mondays?

Exercise 16.1 | Q 53.01 | Page 24

A black die and a white die are thrown at the same time. Write all the possible outcomes. What is the probability? that the sum of the two numbers that turn up is 8?

Exercise 16.1 | Q 53.02 | Page 24

A black die and a white die are thrown at the same time. Write all the possible outcomes. What is the probability? of obtaining a total of 6?

Exercise 16.1 | Q 53.03 | Page 24

A black die and a white die are thrown at the same time. Write all the possible outcomes. What is the probability of obtaining a total of 10?

Exercise 16.1 | Q 53.04 | Page 24

A black die and a white die are thrown at the same time. Write all the possible outcomes. What is the probability? of obtaining the same number on both dice?

Exercise 16.1 | Q 53.05 | Page 24

A black die and a white die are thrown at the same time. Write all the possible outcomes. What is the probability of obtaining a total more than 9?

Exercise 16.1 | Q 53.06 | Page 24

A black die and a white die are thrown at the same time. Write all the possible outcomes. What is the probability that the sum of the two numbers appearing on the top of the dice is 13?

Exercise 16.1 | Q 53.07 | Page 24

A black die and a white die are thrown at the same time. Write all the possible outcomes. What is the probability that the sum of the numbers appearing on the top of the dice is less than or equal to 12?

Exercise 16.1 | Q 53.08 | Page 24

A black die and a white die are thrown at the same time. Write all the possible outcomes. What is the probability?  that the product of numbers appearing on the top of the dice is less than 9.

Exercise 16.1 | Q 53.09 | Page 24

A black die and a white die are thrown at the same time. Write all the possible outcomes. What is the probability?

that the difference of the numbers appearing on the top of two dice is 2.

Exercise 16.1 | Q 53.1 | Page 24

A black die and a white die are thrown at the same time. Write all the possible outcomes. What is the probability?

that the numbers obtained have a product less then 16.

Exercise 16.1 | Q 54.1 | Page 25

A bag contains cards which are numbered from 2 to 90. A card is drawn at random from the bag. Find the probability that it bears a two digit number

Exercise 16.1 | Q 54.2 | Page 25

A bag contains cards which are numbered from 2 to 90. A card is drawn at random from the bag. Find the probability that it bears a number which is a perfect square

Exercise 16.1 | Q 55 | Page 25

The faces of a red cube and a yellow cube are numbered from 1 to 6. Both cubes are rolled. What is the probability that the top face of each cube will have the same number?

Exercise 16.1 | Q 56 | Page 25

The probability of selecting a green marble at random from a jar that contains only green, white and yellow marbles is 1/4  The probability of selecting a white marble at random from  the same jar is 1/3  If this jar contains 10 yellow marbles. What is the total number of marbles in the jar?

Exercise 16.1 | Q 57 | Page 25

1) A lot of 20 bulbs contain 4 defective ones. One bulb is drawn at random from the lot. What is the probability that this bulb is defective?

2) Suppose the bulb drawn in (1) is not defective and is not replaced. Now one bulb is drawn at random from the rest. What is the probability that this bulb is not defective?

Exercise 16.1 | Q 57 | Page 25

A number is selected at random from first 50 natural numbers. Find the probability that it is a multiple of 3 and 4.

Exercise 16.1 | Q 58.1 | Page 25

A box contains 90 discs which are numbered from 1 to 90. If one disc is drawn at random from the box, find the probability that it bears a two-digit number

Exercise 16.1 | Q 58.2 | Page 25

A box contains 90 discs which are numbered from 1 to 90. If one disc is drawn at random from the box, find the probability that it bears a perfect square number

Exercise 16.1 | Q 58.3 | Page 25

A box contains 90 discs which are numbered from 1 to 90. If one disc is drawn at random from the box, find the probability that it bears a number divisible by 5.

Exercise 16.1 | Q 59 | Page 25

Two dice, one blue and one grey, are thrown at the same time.

(i) Write down all the possible outcomes and complete the following table:

 Event :‘Sum on 2 dice’ 2 3 4 5 6 7 8 9 10 11 12 Probability 1/36 5/36 1/36
Exercise 16.1 | Q 60 | Page 25

A bag contains 6 red balls and some blue balls. If the probability of drawing a blue ball the bag is twice that of a red ball, find the number of blue balls in the bag.

Exercise 16.1 | Q 61.1 | Page 25

The king, queen and jack of clubs are removed from a deck of 52 playing cards and the remaining cards are shuffled. A card is drawn from the remaining cards. Find the
probability of getting a card of heart

Exercise 16.1 | Q 61.2 | Page 25

The king, queen and jack of clubs are removed from a deck of 52 playing cards and the remaining cards are shuffled. A card is drawn from the remaining cards. Find the
probability of getting a card of queen

Exercise 16.1 | Q 61.3 | Page 25

The king, queen and jack of clubs are removed from a deck of 52 playing cards and the remaining cards are shuffled. A card is drawn from the remaining cards. Find the
probability of getting a card of clubs.

Exercise 16.1 | Q 61.4 | Page 25

The king, queen and jack of clubs are removed form a deck of 52 playing cards and the remaining cards are shuffled. A card is drawn from the remaining cards. Find the probability of getting a card of a face card

Exercise 16.1 | Q 61.5 | Page 25

The king, queen and jack of clubs are removed form a deck of 52 playing cards and the remaining cards are shuffled. A card is drawn from the remaining cards. Find the probability of getting a card of  a queen of diamond.

Exercise 16.1 | Q 62.1 | Page 25

Two dice are thrown simultaneously. What is the probability that 5 will not come up on either of them?

Exercise 16.1 | Q 62.2 | Page 25

Two dice are thrown simultaneously. What is the probability that 5 will come up on at least one?

Exercise 16.1 | Q 62.3 | Page 25

Two dice are thrown simultaneously. What is the probability that 5 wifi come up at both dice?

Exercise 16.1 | Q 63 | Page 26

A number is selected at random from first 50 natural numbers. Find the probability that it is a multiple of 3 and 4.

Exercise 16.1 | Q 64.1 | Page 26

A dice is rolled twice. Find the probability that  5 will not come up either time

Exercise 16.1 | Q 64.2 | Page 26

A dice is rolled twice. Find the probability that 5 will come up exactly one time

Exercise 16.1 | Q 65.1 | Page 26

All the black face cards are removed from a pack of 52 cards. The remaining cards are well shuffled and then a card is drawn at random. Find the probability of getting face card

Exercise 16.1 | Q 65.2 | Page 26

All the black face cards are removed from a pack of 52 cards. The remaining cards are well shuffled and then a card is drawn at random. Find the probability of getting red card

Exercise 16.1 | Q 65.3 | Page 26

All the black face cards are removed from a pack of 52 cards. The remaining cards are well shuffled and then a card is drawn at random. Find the probability of getting black card

Exercise 16.1 | Q 65.4 | Page 26

All the black face cards are removed from a pack of 52 cards. The remaining cards are well shuffled and then a card is drawn at random. Find the probability of getting king

Exercise 16.1 | Q 66.1 | Page 26

Cards numbered from 11 to 60 are kept in a box. If a card is drawn at random from the box, find the probability that the number on the drawn card is  an odd number

Exercise 16.1 | Q 66.2 | Page 26

Cards numbered from 11 to 60 are kept in a box. If a card is drawn at random from the box, find the probability that the number on the drawn card is a perfect square number

Exercise 16.1 | Q 66.3 | Page 26

Cards numbered from 11 to 60 are kept in a box. If a card is drawn at random from the box, find the probability that the number on the drawn card is divisible by 5

Exercise 16.1 | Q 66.4 | Page 26

Cards numbered from 11 to 60 are kept in a box. If a card is drawn at random from the box, find the probability that the number on the drawn card isa prime number less than 20

Exercise 16.1 | Q 67.1 | Page 26

All kings and queens are removed from a pack of 52 cards. The remaining cards are well shuffled and then a card is randomly drawn from it. Find the probability that this card is a red face card

Exercise 16.1 | Q 67.2 | Page 26

All kings and queens are removed from a pack of 52 cards. The remaining cards are well shuffled and then a card is randomly drawn from it. Find the probability that this card is  a black card.

Exercise 16.1 | Q 68.1 | Page 26

All jacks, queens and kings are removed from a pack of 52 cards. The remaining cards are well-shuffled and then a card is randomly drawn from it. Find the probability that this card is a black face card

Exercise 16.1 | Q 68.2 | Page 26

All jacks, queens and kings are removed from a pack of 52 cards. The remaining cards are well-shuffled and then a card is randomly drawn from it. Find the probability that this card is  a red card.

Exercise 16.1 | Q 69.1 | Page 26

Red queens and black jacks are removed from a pack of 52 playing cards. A card is drawn at random from the remaining cards, after reshuffling them. Find the probability that the card drawn is a king

Exercise 16.1 | Q 69.2 | Page 26

Red queens and black jacks are removed from a pack of 52 playing cards. A card is drawn at random from the remaining cards, after reshuffling them. Find the probability that the card drawn is of red colour

Exercise 16.1 | Q 69.3 | Page 26

Red queens and black jacks are removed from a pack of 52 playing cards. A card is drawn at random from the remaining cards, after reshuffling them. Find the probability that the card drawn is a face card

Exercise 16.1 | Q 69.4 | Page 26

Red queens and black jacks are removed from a pack of 52 playing cards. A card is drawn at random from the remaining cards, after reshuffling them. Find the probability that the card drawn is a queen

Exercise 16.1 | Q 70 | Page 26

All red face cards are removed from a pack of playing cards. The remaining cards are well shuffled and then a card is drawn at random from them. Find the probability that the drawn card is  a red card

Exercise 16.1 | Q 70.1 | Page 26

In a bag there are 44 identical cards with figure of circle or square on them. There are 24 circles, of which 9 are blue and rest are green and 20 squares of which 11 are blue and rest are green.  One card is drawn from the bag at random. Find the probability that it has the figure of square

Exercise 16.1 | Q 70.2 | Page 26

In a bag there are 44 identical cards with figure of circle or square on them. There are 24 circles, of which 9 are blue and rest are green and 20 squares of which 11 are blue and rest are green.  One card is drawn from the bag at random. Find the probability that it has the figure of

Exercise 16.1 | Q 70.2 | Page 26

In a bag there are 44 identical cards with figure of circle or square on them. There are 24 circles, of which 9 are blue and rest are green and 20 squares of which 11 are blue and rest are green.  One card is drawn from the bag at random. Find the probability that it has the figure of green colour

Exercise 16.1 | Q 70.2 | Page 26

In a bag there are 44 identical cards with figure of circle or square on them. There are 24 circles, of which 9 are blue and rest are green and 20 squares of which 11 are blue and rest are green.  One card is drawn from the bag at random. Find the probability that it has the figure of  green colour

Exercise 16.1 | Q 70.3 | Page 26

In a bag there are 44 identical cards with figure of circle or square on them. There are 24 circles, of which 9 are blue and rest are green and 20 squares of which 11 are blue and rest are green.  One card is drawn from the bag at random. Find the probability that it has the figure of green square.

Exercise 16.1 | Q 70.3 | Page 26

In a bag there are 44 identical cards with figure of circle or square on them. There are 24 circles, of which 9 are blue and rest are green and 20 squares of which 11 are blue and rest are green.  One card is drawn from the bag at random. Find the probability that it has the figure of blue circle and

Exercise 16.1 | Q 70.4 | Page 26

In a bag there are 44 identical cards with figure of circle or square on them. There are 24 circles, of which 9 are blue and rest are green and 20 squares of which 11 are blue and rest are green.  One card is drawn from the bag at random. Find the probability that it has the figure of green

Exercise 16.1 | Q 71.1 | Page 26

All red face cards are removed from a pack of playing cards. The remaining cards are well shuffled and then a card is drawn at random from them. Find the probability that the drawn card is  a red card

Exercise 16.1 | Q 71.2 | Page 26

All red face cards are removed from a pack of playing cards. The remaining cards are well shuffled and then a card is drawn at random from them. Find the probability that the drawn card is a face card and

Exercise 16.1 | Q 71.3 | Page 26

All red face cards are removed from a pack of playing cards. The remaining cards are well shuffled and then a card is drawn at random from them. Find the probability that the drawn card is  a card of clubs.

Exercise 16.1 | Q 72.1 | Page 26

Two customers are visiting a particular shop in the same week (Monday to Saturday). Each is equally likely to visit the shop on any one day as on another. What is the  robability that both will visit the shop on the same day?

Exercise 16.1 | Q 72.2 | Page 26

Two customers are visiting a particular shop in the same week (Monday to Saturday). Each is equally likely to visit the shop on any one day as on another. What is the probability that both will visit the shop on different days?

Exercise 16.1 | Q 72.3 | Page 26

Two customers are visiting a particular shop in the same week (Monday to Saturday). Each is equally likely to visit the shop on any one day as on another. What is the probability that both will visit the shop on consecutive days?

Exercise 16.2 [Page 33]

### RD Sharma solutions for Class 10 Maths Chapter 16 Probability Exercise 16.2 [Page 33]

Exercise 16.2 | Q 1 | Page 33

Suppose you drop a tie at random on the rectangular region shown in the given figure. What is the probability that it will land inside the circle with diameter 1 m? Exercise 16.2 | Q 2 | Page 33

In the accompanying diagram a fair spinner is placed at the center O of the circle.
Diameter AOB and radius OC divide the circle into three regions labelled X, Y and Z. If
∠BOC = 45°. What is the probability that the spinner will land in the region X?(See fig) Exercise 16.2 | Q 3 | Page 33

A target shown in Fig. below consists of three concentric circles of radii, 3, 7 and 9 cm
respectively. A dart is thrown and lands on the target. What is the probability that the dart will land on the shaded region? Exercise 16.2 | Q 4 | Page 33

In below Fig., points A, B, C and D are the centers of four circles that each have a radius of length one unit. If a point is selected at random from the interior of square ABCD. What is the probability that the point will be chosen from the shaded region? Exercise 16.2 | Q 5 | Page 33

In the Fig. below, JKLM is a square with sides of length 6 units. Points A and B are the
mid- points of sides KL and LM respectively. If a point is selected at random from the
interior of the square. What is the probability that the point will be chosen from the interior of ΔJAB? Exercise 16.2 | Q 6 | Page 33

In the given figure, a square dart board is shown. The length of a side of the larger square is 1.5 times the length of a side of the smaller square. If a dart is thrown and lands on the larger square. What is the probability that it will land in the interior of the smaller square?

Exercise 16.3 [Pages 34 - 35]

### RD Sharma solutions for Class 10 Maths Chapter 16 Probability Exercise 16.3 [Pages 34 - 35]

Exercise 16.3 | Q 1 | Page 34

Cards each marked with one of the numbers 4, 5, 6, ..., 20 are placed in a box and mixed thoroughly. One card is drawn at random from the box. What is the probability of getting an even number?

Exercise 16.3 | Q 2 | Page 34

One card is drawn from a well shuffled deck of 52 playing cards. What is the probability of getting a non-face card?

Exercise 16.3 | Q 3 | Page 34

A bag contains 5 red, 8 green and 7 white balls, One ball is drawn at random from the bag. What is the probability of getting a white ball or a green ball?

Exercise 16.3 | Q 4 | Page 34

A die is thrown once. What is the probability of getting a prime number?

Exercise 16.3 | Q 5 | Page 34

A die thrown once. What is the probability of getting a number lying between  2 and 6?

Exercise 16.3 | Q 6 | Page 34

A die is thrown once. What is the probability of getting an odd number?

Exercise 16.3 | Q 7 | Page 35

If $\bar{E}$ denote the complement or negation of an even E, what is the value of P(E) + P($\bar{E}$) ?

Exercise 16.3 | Q 8 | Page 35

One card is drawn at random from a well shuffled deck of 52 cards. What is the probability of getting an ace?

Exercise 16.3 | Q 9 | Page 35

Two coins are tossed simultaneously. What is the probability of getting at least one head?

Exercise 16.3 | Q 10 | Page 35

Tickets numbered 1 to 20 are mixed up and then a ticket is drawn at random. What is the probability that the ticket drawn bears a number which is a multiple of 3?

Exercise 16.3 | Q 11 | Page 35

From a well shuffled pack of cards, a card is drawn at random. Find the probability of getting a black queen.

Exercise 16.3 | Q 12 | Page 35

A die is thrown once. Find the probability of getting a number less than 3.

Exercise 16.3 | Q 13 | Page 35

Two coins are tossed simultaneously. Find the probability of getting exactly one head.

Exercise 16.3 | Q 14 | Page 35

A die is thrown once. What is the probability of getting a number greater than 4?

Exercise 16.3 | Q 15 | Page 35

What is the probability that a number selected at random from the numbers 3, 4, 5, ....9 is a multiple of 4?

Exercise 16.3 | Q 15 | Page 35

What is the probability that a number selected at random from the numbers 3, 4, 5, ....9 is a multiple of 4?

Exercise 16.3 | Q 16 | Page 35

A letter of English alphabet is chosen at random. Determine the probability that the chosen letter is a consonant.

Exercise 16.3 | Q 17 | Page 35

A bag contains 3 red and 5 black balls. A ball is drawn at random from the bag. What is the probability that the ball drawn is not red.

Exercise 16.3 | Q 18 | Page 35

A number is chosen at random from the number –3, –2, –1, 0, 1, 2, 3. What will be the probability that square of this number is less then or equal to 1?

Exercise 16.4 [Pages 35 - 39]

### RD Sharma solutions for Class 10 Maths Chapter 16 Probability Exercise 16.4 [Pages 35 - 39]

Exercise 16.4 | Q 1 | Page 35

If a digit is chosen at random from the digit 1, 2, 3, 4, 5, 6, 7, 8, 9, then the probability that it is odd, is

• $\frac{4}{9}$

• $\frac{5}{9}$

• $\frac{1}{9}$

• $\frac{2}{3}$

Exercise 16.4 | Q 2 | Page 35

In Q. No. 1, The probability that the digit is even is

• $\frac{4}{9}$

• $\frac{5}{9}$

• $\frac{1}{9}$

• $\frac{2}{3}$

Exercise 16.4 | Q 3 | Page 36

In the probability that the digit is a multiple of 3 is

• $\frac{1}{3}$

• $\frac{2}{3}$

• $\frac{1}{9}$

• $\frac{2}{9}$

Exercise 16.4 | Q 4 | Page 36

If three coins are tossed simultaneously, then the probability of getting at least two heads, is

• $\frac{1}{4}$

• $\frac{3}{8}$

• $\frac{1}{2}$

• $\frac{1}{4}$

Exercise 16.4 | Q 5 | Page 36

In a single throw of a die, the probability of getting a multiple of 3 is

• $\frac{1}{2}$

• $\frac{1}{3}$

• $\frac{1}{6}$

• $\frac{2}{3}$

Exercise 16.4 | Q 6 | Page 36

The probability of guessing the correct answer to a certain test questions is$\frac{x}{12}$ If the probability of not  guessing the correct answer to this question is$\frac{ 2}{3}$ then x =

• 2

•  3

•  4

• 6

Exercise 16.4 | Q 7 | Page 36

A bag contains three green marbles, four blue marbles, and two orange marbles, If a marble is picked at random, then the probability that it is not an orange marble is

• $\frac{1}{4}$

• $\frac{1}{3}$

• $\frac{4}{9}$

• $\frac{7}{9}$

Exercise 16.4 | Q 8 | Page 36

A number is selected at random from the numbers 3, 5, 5, 7, 7, 7, 9, 9, 9, 9 The probability that the selected number is their average is

• $\frac{1}{10}$

• $\frac{3}{10}$

• $\frac{7}{10}$

• $\frac{9}{10}$

Exercise 16.4 | Q 9 | Page 36

The probability of throwing a number greater than 2 with a fair dice is

• $\frac{3}{5}$

• $\frac{2}{5}$

• $\frac{2}{3}$

• $\frac{1}{3}$

Exercise 16.4 | Q 10 | Page 36

A card is accidently dropped from a pack of 52 playing cards. The probability that it is an ace is

• $\frac{1}{4}$

• $\frac{1}{13}$

• $\frac{1}{52}$

• $\frac{12}{13}$

Exercise 16.4 | Q 11 | Page 36

A number is selected from numbers 1 to 25. The probability that it is prime is

• $\frac{2}{3}$

• $\frac{1}{6}$

• $\frac{1}{3}$

• $\frac{5}{6}$

Exercise 16.4 | Q 12 | Page 36

Which of the following cannot be the probability of an event?

• $\frac{2}{3}$

• $- 1 . 5$

• $15 %$

• $0 . 7$

Exercise 16.4 | Q 13 | Page 36

If P(E) = 0.05, then P(not E) =

• −0.05

• 0.5

• 0.9

•  0.95

Exercise 16.4 | Q 14 | Page 36

Which of the following cannot be the probability of occurence of an event?

•  0.2

•  0.4

• 0.8

• 1.6

Exercise 16.4 | Q 15 | Page 36

The probability of a certain event is

• 0

• 1

• 1/2

•  no existent

Exercise 16.4 | Q 16 | Page 37

The probability of an impossible event is

• 0

•  1

• 1/2

•  non-existent

Exercise 16.4 | Q 17 | Page 37

Aarushi sold 100 lottery tickets in which 5 tickets carry prizes. If Priya purchased a ticket, what is the probability of Priya winning a prize?

• $\frac{19}{20}$

• $\frac{1}{25}$

• $\frac{1}{20}$

• $\frac{17}{20}$

Exercise 16.4 | Q 18 | Page 37

A number is selected from first 50 natural numbers. What is the probability that it is a multiple of 3 or 5?

• $\frac{13}{25}$

• $\frac{21}{50}$

• $\frac{12}{25}$

• $\frac{23}{50}$

Exercise 16.4 | Q 19 | Page 37

A month is selected at random in a year. The probability that it is March or October, is

• $\frac{1}{12}$

• $\frac{1}{6}$

• $\frac{3}{4}$

•  None of these

Exercise 16.4 | Q 20 | Page 37

From the letters of the word ''MOBILE",  a letter is selected. The probability that the letter is a vowel, is

• $\frac{1}{3}$

• $\frac{3}{7}$

• $\frac{1}{6}$

• $\frac{1}{2}$

Exercise 16.4 | Q 21 | Page 37

A die is thrown once. The probability of getting a prime number is

• $\frac{2}{3}$

• $\frac{1}{3}$

• $\frac{1}{2}$

• $\frac{1}{6}$

Exercise 16.4 | Q 22 | Page 37

The probability of getting an even number, when a die is thrown once is

• $\frac{1}{2}$

• $\frac{1}{3}$

• $\frac{1}{6}$

• $\frac{5}{6}$

Exercise 16.4 | Q 23 | Page 37

A box contains 90 discs, numbered from 1 to 90. If one disc is drawn at random from the box, the probability that it bears a prime number less than 23, is

• $\frac{7}{90}$

• $\frac{10}{90}$

• $\frac{4}{45}$

• $\frac{9}{89}$

Exercise 16.4 | Q 24 | Page 37

The probability that a number selected at random from the numbers 1, 2, 3, ..., 15 is a multiple of 4, is

• $\frac{4}{15}$

• $\frac{2}{15}$

• $\frac{1}{5}$

• $\frac{1}{3}$

Exercise 16.4 | Q 25 | Page 37

Two different coins are tossed simultaneously. The probability of getting at least one head is

• $\frac{1}{4}$

• $\frac{1}{8}$

• $\frac{3}{4}$

• $\frac{7}{8}$

Exercise 16.4 | Q 26 | Page 37

If two different dice are rolled together, the probability of getting an even number on both dice is

• $\frac{1}{36}$

• $\frac{1}{2}$

• $\frac{1}{6}$

• $\frac{1}{4}$

Exercise 16.4 | Q 27 | Page 37

A number is selected at random from the numbers 1 to 30. The probability that it is a prime number is

• $\frac{2}{3}$

• $\frac{1}{6}$

• $\frac{1}{3}$

• $\frac{11}{30}$

Exercise 16.4 | Q 28 | Page 38

A card is drawn at random from a pack of 52 cards. The probability that the drawn card is not an ace is

• $\frac{1}{13}$

• $\frac{9}{13}$

• $\frac{4}{13}$

• $\frac{12}{13}$

Exercise 16.4 | Q 29 | Page 38

A number x is chosen at random from the numbers −3, −2, −1, 0, 1, 2, 3 the probability that | x | < 2 is

• $\frac{5}{7}$

• $\frac{2}{7}$

• $\frac{3}{7}$

• $\frac{1}{7}$

Exercise 16.4 | Q 30 | Page 38

If a number x is chosen from the numbers 1, 2, 3, and a number y is selected from the numbers 1, 4, 9. Then, P(xy < 9)

• $\frac{7}{9}$

• $\frac{5}{9}$

• $\frac{2}{3}$

• $\frac{1}{9}$

Exercise 16.4 | Q 31 | Page 38

The probability that a non-leap year has 53 sundays, is

• $\frac{2}{7}$

• $\frac{5}{7}$

• $\frac{6}{7}$

• $\frac{1}{7}$

Exercise 16.4 | Q 32 | Page 38

In a single throw of a pair of dice, the probability of getting the sum a perfect square is

• $\frac{1}{18}$

• $\frac{7}{36}$

• $\frac{1}{6}$

• $\frac{2}{9}$

Exercise 16.4 | Q 33 | Page 38

What is the probability that a non-leap year has 53 Sundays?

• $\frac{6}{7}$

• $\frac{1}{7}$

• $\frac{5}{7}$

• None of these

Exercise 16.4 | Q 34 | Page 38

Two numbers 'a' and 'b' are selected successively without replacement in that order from the integers 1 to 10. The probability that$\frac{a}{b}$ is an integer, is

• $\frac{17}{45}$

• $\frac{1}{5}$

• $\frac{17}{90}$

• $\frac{8}{45}$

Exercise 16.4 | Q 35 | Page 38

Two dice are rolled simultaneously. The probability that they show different faces is

• $\frac{2}{3}$

• $\frac{1}{6}$

• $\frac{1}{3}$

• $\frac{5}{6}$

Exercise 16.4 | Q 36 | Page 38

What is the probability that a leap year has 52 Mondays?

• $\frac{2}{7}$

• $\frac{4}{7}$

• $\frac{5}{7}$

• $\frac{6}{7}$

Exercise 16.4 | Q 37 | Page 38

If a two digit number is chosen at random, then the probability that the number chosen is a multiple of 3, is

• $\frac{3}{10}$

• $\frac{29}{100}$

• $\frac{1}{3}$

• $\frac{7}{25}$

Exercise 16.4 | Q 38 | Page 38

Two dice are thrown together. The probability of getting the same number on both dice is

• $\frac{1}{2}$

• $\frac{1}{3}$

• $\frac{1}{6}$

• $\frac{1}{12}$

Exercise 16.4 | Q 39 | Page 39

In a family of 3 children, the probability of having at least one boy is

• $\frac{7}{8}$

• $\frac{1}{8}$

• $\frac{5}{8}$

• $\frac{3}{4}$

Exercise 16.4 | Q 40 | Page 39

A bag contains cards numbered from 1 to 25. A card is drawn at random from the bag. The probability that the number on this card is divisible by both 2 and 3 is

• $\frac{1}{5}$

• $\frac{3}{25}$

• $\frac{4}{25}$

• $\frac{2}{25}$

## Chapter 16: Probability

Exercise 16.1Exercise 16.2Exercise 16.3Exercise 16.4 ## RD Sharma solutions for Class 10 Maths chapter 16 - Probability

RD Sharma solutions for Class 10 Maths chapter 16 (Probability) include all questions with solution and detail explanation. This will clear students doubts about any question and improve application skills while preparing for board exams. The detailed, step-by-step solutions will help you understand the concepts better and clear your confusions, if any. Shaalaa.com has the CBSE Class 10 Maths solutions in a manner that help students grasp basic concepts better and faster.

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Concepts covered in Class 10 Maths chapter 16 Probability are Sample Space, Concept Or Properties of Probability, Simple Problems on Single Events, Probability - A Theoretical Approach, Basic Ideas of Probability, Basic Ideas of Probability, Probability - A Theoretical Approach, Basic Ideas of Probability, Random Experiments, Equally Likely Outcomes, Type of Event - Elementry, Type of Event - Complementry, Outcome, Sample Space, Event and Its Types, Probability of an Event, Type of Event - Exclusive, Type of Event - Exhaustive, Concept Or Properties of Probability, Addition Theorem.

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