#### Chapters

Chapter 2 - Polynomials

Chapter 3 - Pair of Linear Equations in Two Variables

Chapter 4 - Triangles

Chapter 5 - Trigonometric Ratios

Chapter 6 - Trigonometric Identities

Chapter 7 - Statistics

Chapter 8 - Quadratic Equations

Chapter 9 - Arithmetic Progression

Chapter 10 - Circles

Chapter 11 - Constructions

Chapter 12 - Trigonometry

Chapter 13 - Probability

Chapter 14 - Co-Ordinate Geometry

Chapter 15 - Areas Related to Circles

Chapter 16 - Surface Areas and Volumes

## Chapter 13 - Probability

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

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

A die is thrown once. Find the probability of getting a prime number;

A die is thrown once. Find the probability of getting a prime number;

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

Two unbiased dice are thrown. Find the probability that the total of the numbers on the dice

is greater than 10.

Two unbiased dice are thrown. Find the probability that the total of the numbers on the dice

is greater than 10.

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.

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.

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

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

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

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

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

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

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

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

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.

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.

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

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

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.

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.

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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.

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.

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

that the ball drawn is white.

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

that the ball drawn is white.

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 White

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 White

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

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

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

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

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

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

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

of 4?

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

of 4?

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?

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?

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

probability that ball drawn is white?

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

probability that ball drawn is white?

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?

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?

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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?

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?

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?

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?

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?

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?

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?

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?

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?

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?

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?

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?

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?

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?

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

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

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

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

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

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

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

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

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

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

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

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

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?

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?

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?

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?

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?

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?

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

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

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

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

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

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

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?

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?

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?

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?

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?

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?

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?

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?

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?

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?

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?

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?

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?

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?

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?

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?

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?

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?

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

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

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?

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?

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?

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?

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?

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?

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.

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.

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

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

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

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

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.

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.

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.

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.

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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)

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)

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?

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?

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?

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?

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?

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?

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?

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?

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

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

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

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

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.

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.

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?

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?

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?

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?

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.

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.

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 aside, what is the probability that the second card picked up is (a) an ace? (b) a queen?

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 aside, what is the probability that the second card picked up is (a) an ace? (b) a queen?

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?

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?

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 |

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 |

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

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

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

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

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.

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.

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

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

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.

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.

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

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

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

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

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.

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.

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

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

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

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

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

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

Fill in blank:

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

.

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

.

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

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

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

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

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.

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.

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

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

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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)

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)

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?

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?

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?

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?

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?

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?

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?

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?

Suppose you drop a die at random on the rectangular region shown in the given figure. What is the probability that it will land inside the circle with diameter 1m?

Suppose you drop a die at random on the rectangular region shown in the given figure. What is the probability that it will land inside the circle with diameter 1m?

#### Textbook solutions for Class 10

## R.D. Sharma solutions for Class 10 Mathematics chapter 13 - Probability

R.D. Sharma solutions for Class 10 Mathematics chapter 13 (Probability) include all questions with solution and detail explanation from 10 Mathematics. 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 created the CBSE 10 Mathematics solutions in a manner that help students grasp basic concepts better and faster.

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Concepts covered in Class 10 Mathematics chapter 13 Probability are Simple Problems on Single Events, Sample Space, Concept Or Properties of Probability, Probability - A Theoretical Approach, Introduction to Probability, Probability Examples and Solutions, Introduction to Probability, Probability - A Theoretical Approach, Type of Event - Elementry, Type of Event - Complementry, Type of Event - Exclusive, Type of Event - Exhaustive, Equally Likely Outcomes, Probability of an Event, Concept Or Properties of Probability, Addition Theorem, Random Experiments, Sample Space, Probability Examples and Solutions.

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