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R.S. Aggarwal solutions for Class 10 Mathematics chapter 15 - Probability

Secondary School Mathematics for Class 10 (for 2019 Examination)

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R.S. Aggarwal Secondary School Mathematics Class 10 (for 2019 Examination)

Secondary School Mathematics for Class 10 (for 2019 Examination) - Shaalaa.com

Chapter 15: Probability

Exercise 15AExercise 15BMultiple choice QuestionsOthers

Chapter 15: Probability Exercise Exercise 15A solutions [Pages 686 - 689]

Exercise 15A | Q 1.1 | Page 686

Fill in the blank:

The probability of an impossible event is ....... .

Exercise 15A | Q 1.2 | Page 686

Fill in the blank:

The probability of a sure event is ........ .

Exercise 15A | Q 1.3 | Page 686

Fill in the blank:

For any event E, P(E) + P (not E) = ........ .

Exercise 15A | Q 1.4 | Page 686

Fill in the blank:

The probability of a possible but not a sure event lies between ......... and ........ . 

Exercise 15A | Q 1.5 | Page 686

Fill in the blank:

The sum of probabilities of all the outcomes of an experiment is ....... .

Exercise 15A | Q 2 | Page 686

A coin is tossed once. What is the probability of getting a tail?

Exercise 15A | Q 3.1 | Page 686

Two coins are tossed simultaneously. Find the probability of getting exactly 1 head.

Exercise 15A | Q 3.2 | Page 686

Two coins are tossed simultaneously. Find the probability of getting at most 1 headat most 1 head.

Exercise 15A | Q 3.3 | Page 686

Two coins are tossed simultaneously. Find the probability of getting at least 1 head.

Exercise 15A | Q 4.1 | Page 686

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

Exercise 15A | Q 4.2 | Page 686

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

Exercise 15A | Q 4.3 | Page 686

A die is thrown once. Find the probability of getting a number greater than 2.

Exercise 15A | Q 4.4 | Page 686

A die is thrown once. Find the probability of getting a number between 3 and 6.

Exercise 15A | Q 4.5 | Page 686

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

Exercise 15A | Q 4.6 | Page 686

A die is thrown once. Find the probability of getting the number 5.

Exercise 15A | Q 5 | Page 687

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

Exercise 15A | Q 6 | Page 687

A child has a die whose 6 faces show the letters given below: 

The die is thrown once. What is the probability of getting (i) A and (ii) B?

Exercise 15A | Q 7.1 | Page 687

It is known that a box of 200 electric bulbs contains 16 defective bulbs. One bulb is taken out at random from the box. What is the probability that the bulb drawn is defective.

Exercise 15A | Q 7.2 | Page 687

It is known that a box of 200 electric bulbs contains 16 defective bulbs. One bulb is taken out at random from the box. What is the probability that the bulb drawn is  non-defective.

Exercise 15A | Q 8 | Page 687

If the probability of winning a game is 0.7, what is the probability of losing it?

Exercise 15A | Q 9.1 | Page 687

There are 35 students in a class of whom 20 are boys and 15 are girls. From these students one is chosen at random. What is the probability that the chosen student is a boy.

Exercise 15A | Q 9.2 | Page 687

There are 35 students in a class of whom 20 are boys and 15 are girls. From these students one is chosen at random. What is the probability that the chosen student is a girl?

Exercise 15A | Q 10 | Page 687

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

Exercise 15A | Q 11 | Page 687

250 lottery tickets were sold and there are 5 prizes on these tickets. If Kunal has purchased one lottery ticket, what is the probability that he wins a prize?

Exercise 15A | Q 12.1 | Page 687

17 cards numbered 1, 2, 3, 4, .... ,17 are put in a box and mixed thoroughly. A card is drawn at random from the box. Find the probability that the card drawn bears an odd number.

Exercise 15A | Q 12.2 | Page 687

17 cards numbered 1, 2, 3, 4, .... ,17 are put in a box and mixed thoroughly. A card is drawn at random from the box. Find the probability that the card drawn bears a number divisible by 5.

Exercise 15A | Q 13 | Page 687

A game of chance consists of spinning an arrow, which comes to rest pointing at one of the numbers 1, 2, 3, 4, 5, 6, 7, 8 and these are equally likely outcomes. Find the probability that the arrow will point at any factor of 8.

Exercise 15A | Q 14 | Page 687

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

Exercise 15A | Q 15.1 | Page 687

A bag contains 4 white balls, 5 red balls, 2 black balls and 4 green balls. A ball is drawn at random from the bag. Find the probability that it is black.

Exercise 15A | Q 15.2 | Page 687

A bag contains 4 white balls, 5 red balls, 2 black balls and 4 green balls. A ball is drawn at random from the bag. Find the probability that it is not green.

Exercise 15A | Q 15.3 | Page 687

A bag contains 4 white balls, 5 red balls, 2 black balls and 4 green balls. A ball is drawn at random from the bag. Find the probability that it is red or white.

Exercise 15A | Q 15.4 | Page 687

A bag contains 4 white balls, 5 red balls, 2 black balls and 4 green balls. A ball is drawn at random from the bag. Find the probability that it is neither red nor green.

Exercise 15A | Q 16.1 | Page 687

A card is drawn at random from a well-shuffled pack of 52 cards. Find the probability of getting a red king,

Exercise 15A | Q 16.2 | Page 687

A card is drawn at random from a well-shuffled pack of 52 cards. Find the probability of getting a queen or a jack.

Exercise 15A | Q 17 | Page 688

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

Exercise 15A | Q 18.1 | Page 688

A card is drawn from a well-shuffled pack of 52 cards. Find the probability of getting a red face card.

Exercise 15A | Q 18.2 | Page 688

A card is drawn from a well-shuffled pack of 52 cards. Find the probability of getting a black king.

Exercise 15A | Q 19.1 | Page 688

Two different dice are tossed together. Find the probability that the number on each die is even.

Exercise 15A | Q 19.2 | Page 688

Two different dice are tossed together. Find the probability that the sum of the numbers appearing on the two dice is 5. 

Exercise 15A | Q 20 | Page 688

Two different dice are rolled simultaneously. Find the probability that the sum of the numbers on the two dice is 10.

Exercise 15A | Q 21 | Page 688

Two different dice are rolled simultaneously. Find the probability that the sum of the numbers on the two dice is 10.

Exercise 15A | Q 22 | Page 688

Two dice are rolled together. Find the probability of getting such numbers on two dice whose product is a perfect square.

Exercise 15A | Q 23 | Page 688

Two dice are rolled together. Find the probability of getting such numbers on the two dice whose product is 12.

Exercise 15A | Q 24 | Page 688

Cards, marked with numbers 5 to 50, are placed in a box and mixed thoroughly. A card is drawn from the box at random. Find the probability that the number on the card is (i) a prime number less than 10 (ii) a perfect square.

Exercise 15A | Q 25.1 | Page 688

A game of chance consists of spinning an arrow which is equally likely to come to rest pointing to one of the numbers 1, 2, 3,..., 12 as shown in the figure. What is the probability that it will point to  6 ?

Exercise 15A | Q 25.2 | Page 688

A game of chance consists of spinning an arrow which is equally likely to come to rest pointing to one of the numbers 1, 2, 3,..., 12 as shown in the figure. What is the probability that it will point to an even number ?

Exercise 15A | Q 25.3 | Page 688

A game of chance consists of spinning an arrow which is equally likely to come to rest pointing to one of the numbers 1, 2, 3,..., 12 as shown in the figure. What is the probability that it will point to a prime number ?

Exercise 15A | Q 25.4 | Page 688

A game of chance consists of spinning an arrow which is equally likely to come to rest pointing to one of the numbers 1, 2, 3,..., 12 as shown in the figure. What is the probability that it will point to a number which is a multiple of 5?

Exercise 15A | Q 26 | Page 688

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. Find the probability that the pen taken out is good one.

Exercise 15A | Q 27.1 | Page 688

​A lot consists of 144 ballpoint pens of which 20 are defective and others good. Tanvy will buy a pen if it is good, but will not buy it 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 15A | Q 27.2 | Page 688

​A lot consists of 144 ballpoint pens of which 20 are defective and others good. Tanvy will buy a pen if it is good, but will not buy it 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 15A | Q 28.1 | Page 688

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 15A | Q 28.2 | Page 688

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 15A | Q 28.3 | Page 688

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 15A | Q 29.1 | Page 689

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?

Exercise 15A | Q 29.2 | Page 689

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

Exercise 15A | Q 30.1 | Page 689

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

Exercise 15A | Q 30.2 | Page 689

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

Exercise 15A | Q 31.1 | Page 689

There are 40 students in a class of whom 25 are girls and 15 are boys. The class teacher has to select one student as a class representative. He writes the name of each student on a separate card, the cards being identical. Then she puts cards in a bag and stirs them thoroughly. She then draws one card from the bag. What is the probability that the name written on the card is the name of a girl ?

Exercise 15A | Q 31.2 | Page 689

There are 40 students in a class of whom 25 are girls and 15 are boys. The class teacher has to select one student as a class representative. He writes the name of each student on a separate card, the cards being identical. Then she puts cards in a bag and stirs them thoroughly. She then draws one card from the bag. What is the probability that the name written on the card is the name of a boy ?

Exercise 15A | Q 32.1 | Page 689

One card is drawn from a well-shuffled deck of 52 cards. Find the probability of drawing  an ace.

Exercise 15A | Q 32.2 | Page 689

One card is drawn from a well-shuffled deck of 52 cards. Find the probability of drawing a 4 of spades.

Exercise 15A | Q 32.3 | Page 689

One card is drawn from a well-shuffled deck of 52 cards. Find the probability of drawing a 9 of a black suit.

Exercise 15A | Q 32.4 | Page 689

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

Exercise 15A | Q 33.1 | Page 689

A card is drawn at random from a well-shuffled deck of 52 cards. Find the probability of getting a queen.

Exercise 15A | Q 33.2 | Page 689

A card is drawn at random from a well-shuffled deck of 52 cards. Find the probability of getting a diamond.

Exercise 15A | Q 33.3 | Page 689

A card is drawn at random from a well-shuffled deck of 52 cards. Find the probability of getting a king or an ace.

Exercise 15A | Q 33.4 | Page 689

A card is drawn at random from a well-shuffled deck of 52 cards. Find the probability of getting a red ace.

Exercise 15A | Q 34.1 | Page 689

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

Exercise 15A | Q 34.2 | Page 689

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

Exercise 15A | Q 34.3 | Page 689

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

Exercise 15A | Q 34.4 | Page 689

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

Exercise 15A | Q 34.5 | Page 689

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

Exercise 15A | Q 34.6 | Page 689

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

Exercise 15A | Q 35.1 | Page 689

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

Exercise 15A | Q 35.2 | Page 689

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

Exercise 15A | Q 35.3 | Page 689

A card is drawn at random form a well-shuffled deck of playing cards. Find the probability that the card drawn is either a king or a queen.

Exercise 15A | Q 35.4 | Page 689

A card is drawn at random form a well-shuffled deck of playing cards. Find the probability that the card drawn is neither a king nor a queen.

Chapter 15: Probability Exercise Exercise 15B solutions [Pages 696 - 699]

Exercise 15B | Q 1.1 | Page 696

A box contains 25 cards numbered from 1 to 25. A card is drawn at random from the bag. Find the probability that the number on the drawn card is divisible by 2 or 3.

Exercise 15B | Q 1.2 | Page 696

A box contains 25 cards numbered from 1 to 25. A card is drawn at random from the bag. Find the probability that the number on the drawn card is a prime number.

Exercise 15B | Q 2 | Page 696

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

Exercise 15B | Q 3.1 | Page 696

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

Exercise 15B | Q 3.2 | Page 696

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

Exercise 15B | Q 3.3 | Page 696

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

Exercise 15B | Q 4.1 | Page 696

Cards bearing numbers 1, 3, 5, .... , 35 are kept in a bag. A card is drawn at random from the bag. Find the probability of getting a card bearing a prime number less than 15,

Exercise 15B | Q 4.2 | Page 696

Cards bearing numbers 1, 3, 5, .... , 35 are kept in a bag. A card is drawn at random from the bag. Find the probability of getting a card bearing a number divisible by 3 and 5.

Exercise 15B | Q 5.1 | Page 696

A box contains cards bearing numbers 6 to 70. If one card is drawn at random from the box, find the probability that it bears a one-digit number,

Exercise 15B | Q 5.2 | Page 696

A box contains cards bearing numbers 6 to 70. If one card is drawn at random from the box, find the probability that it bears a number divisible by 5.

Exercise 15B | Q 5.3 | Page 696

A box contains cards bearing numbers 6 to 70. If one card is drawn at random from the box, find the probability that it bears an odd number less than 30.

Exercise 15B | Q 5.4 | Page 696

A box contains cards bearing numbers 6 to 70. If one card is drawn at random from the box, find the probability that it bears a composite number between 50 and 70.

Exercise 15B | Q 6.1 | Page 696

Cards marked with numbers 1, 3, 5, ..., 101 are placed in a bag and mixed thoroughly. A card is drawn at random from the bag. Find the probability that the number on the drawn card is less than 19.

Exercise 15B | Q 6.2 | Page 696

Cards marked with numbers 1, 3, 5, ..., 101 are placed in a bag and mixed thoroughly. A card is drawn at random from the bag. Find the probability that the number on the drawn card is a prime number less than 20.

Exercise 15B | Q 7.1 | Page 697

Tickets numbered 2, 3, 4, 5, ..., 100, 101 are placed in a box and mixed thoroughly. One ticket is drawn at random from the box. Find the probability that the number on the ticket is an even number.

Exercise 15B | Q 7.2 | Page 697

Tickets numbered 2, 3, 4, 5, ..., 100, 101 are placed in a box and mixed thoroughly. One ticket is drawn at random from the box. Find the probability that the number on the ticket is a number less than 16.

Exercise 15B | Q 7.3 | Page 697

Tickets numbered 2, 3, 4, 5, ..., 100, 101 are placed in a box and mixed thoroughly. One ticket is drawn at random from the box. Find the probability that the number on the ticket is a number which is a perfect square.

Exercise 15B | Q 7.4 | Page 697

Tickets numbered 2, 3, 4, 5, ..., 100, 101 are placed in a box and mixed thoroughly. One ticket is drawn at random from the box. Find the probability that the number on the ticket is a prime number less than 40.

Exercise 15B | Q 8 | Page 697

A box contains 80 discs, which are numbered from 1 to 80. If one disc is drawn at random from the box, find the probability that it bears a perfect square number.

Exercise 15B | Q 9.1 | Page 697

A piggy bank contains hundred 50 p coins, seventy ₹1 coin, fifty ₹2 coins and thirty ₹5 coins. If it is equally likely that one of the coins will fall out when the bank is turned upside down, what is the probability that the coin will be a ₹1 coin?

Exercise 15B | Q 9.2 | Page 697

A piggy bank contains hundred 50 p coins, seventy ₹1 coin, fifty ₹2 coins and thirty ₹5 coins. If it is equally likely that one of the coins will fall out when the bank is turned upside down, what is the probability that the coin will not be a ₹5 coin?

Exercise 15B | Q 9.3 | Page 697

A piggy bank contains hundred 50 p coins, seventy ₹1 coin, fifty ₹2 coins and thirty ₹5 coins. If it is equally likely that one of the coins will fall out when the bank is turned upside down, what is the probability that the coin will be a 50 p or a ₹2 coin?

Exercise 15B | Q 10 | Page 697

The probability of selecting a red ball at random from the jar that contains only red, blue and orange balls is `1/4`. The probability of selecting a blue ball at random from the same jar is `1/3`. If the jar contains 10 orange balls, find the total number of balls in the jar.

Exercise 15B | Q 11.1 | Page 697

A bag contains 18 balls out of which x balls are red. If the ball is drawn at random from the bag, what is the probability that it is not red?

Exercise 15B | Q 11.2 | Page 697

A bag contains 18 balls out of which x balls are red. If two more red balls are put in the bag, the probability of drawing a red ball will be  `9/8` times the probability of drawing a red ball in the first case. Find the value of x.

Exercise 15B | Q 12 | Page 697

A jar contains 24 marbles. Some of these are green and others are blue. If a marble is drawn at random from the jar, the probability that it is green is `2/3`. Find the number of blue marbles in the jar.

Exercise 15B | Q 13 | Page 697

A jar contains 54 marbles, each of which some are blue, some are green and some are white. The probability of selecting a blue marble at random is `1/3` and the probability of selecting a green marble at random is `4/9`. How many white marbles does the jar contain?

Exercise 15B | Q 14.1 | Page 698

A carton consists of 100 shirts of which 88 are good and 8 have minor defects. Rohit, a trader, will only accept the shirts which are good. But Kamal, an another trader, will only reject the shirts which have major defects. One shirt is drawn at random from the carton. What is the probability that it is acceptable to Rohit.

Exercise 15B | Q 14.2 | Page 698

A carton consists of 100 shirts of which 88 are good and 8 have minor defects. Rohit, a trader, will only accept the shirts which are good. But Kamal, an another trader, will only reject the shirts which have major defects. One shirt is drawn at random from the carton. What is the probability that it is acceptable to Kamal?

Exercise 15B | Q 15 | Page 698

A group consists of 12 persons, of which 3 are extremely patient, other 6 are extremely honest and rest are extremely kind. A person from 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 

  1. extremely patient,
  2. extremely kind or honest.

    Which of the above values you prefer more?
Exercise 15B | Q 16.1 | Page 698

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

Exercise 15B | Q 16.2 | Page 698

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

Exercise 15B | Q 16.3 | Page 698

A die is rolled twice. Find the probability that 5 will come up both the times.

Exercise 15B | Q 17 | Page 698

Two dice are rolled once. Find the probability of getting such numbers on two dice whose product is a perfect square.

Exercise 15B | Q 18.1 | Page 698

A letter is chosen at random from the letters of the word ASSOCIATION. Find the probability that the chosen letter is a vowel.

Exercise 15B | Q 18.2 | Page 698

A letter is chosen at random from the letters of the word ASSOCIATION. Find the probability that the chosen letter is a consonant.

Exercise 15B | Q 18.3 | Page 698

A letter is chosen at random from the letters of the word ASSOCIATION. Find the probability that the chosen letter is a an S.

Exercise 15B | Q 19.1 | Page 698

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

Exercise 15B | Q 19.2 | Page 698

Five cards − the ten, jack, queen, king and ace of diamonds are well shuffled with their faces downwards. One card is then picked up at random. If the queen is drawn and put aside and a second card is drawn, find the probability that the second card is

  1. an ace,
  2.  a queen.
Exercise 15B | Q 20 | Page 698

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

Exercise 15B | Q 21 | Page 698

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

Exercise 15B | Q 22.1 | Page 698

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 15B | Q 22.2 | Page 698

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.

Exercise 15B | Q 22.3 | Page 698

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 15B | Q 23.1 | Page 698

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

Exercise 15B | Q 23.2 | Page 698

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

Exercise 15B | Q 24.1 | Page 699

A game consists of tossing a one-rupee coin three times, and noting its outcome each time. Find the probability of getting three heads.

Exercise 15B | Q 24.2 | Page 699

A game consists of tossing a one-rupee coin three times, and noting its outcome each time. Find the probability of getting at least two tails.

Exercise 15B | Q 25 | Page 699

Find the probability that a leap year selected at random will contain 53 Sundays.

Chapter 15: Probability Exercise Multiple choice Questions solutions [Pages 705 - 709]

Multiple choice Questions | Q 1 | Page 705

If P(E) denotes the probability of an event E then

  • P(E) < 0

  • P(E) > 1

  • 0 ≤ P(E) ≤ 1

  • −1 ≤ P(E) ≤ 1

Multiple choice Questions | Q 2 | Page 705

If the probability of occurence of an event is p then the probability of non-happening of this event is (p − 1).

  • (p − 1)

  • (1 − p) 

  •  p

  • `(1- 1/P)`

Multiple choice Questions | Q 3 | Page 705

What is the probability of an impossible event? 

  • `1/2`

  • 0

  • 1

  • none of these

Multiple choice Questions | Q 4 | Page 705

What is the probability of a sure event?

  • 0

  • `1/2`

  • 1

  • none of these

Multiple choice Questions | Q 5 | Page 706

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

  • 1.5

  • `3/5`

  • 25%

  • 0.3

Multiple choice Questions | Q 6 | Page 706

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

  • `2/3`

  • `1/6`

  • `1/3`

  • `11/30`

Multiple choice Questions | Q 7 | Page 706

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

  • `4/15`

  • `2/15`

  • `1/5`

  • `1/3`

Multiple choice Questions | Q 8 | Page 706

A box conatins cards numbered 6 to 50. A card is drawn at random from the box. The probability that the drawn card has a number which is a perfect square is

  • `1/45`

  • `2/15`

  • `4/45`

  • `1/9`

Multiple choice Questions | Q 9 | Page 706

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 prime number less than 23 is 

  • `7/90`

  • `1/9`

  • `4/15`

  • `8/89`

Multiple choice Questions | Q 10 | Page 706

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 prime number less than 23 is

  • `1/2`

  • `2/5`

  • `3/10`

  • `5/9`

Multiple choice Questions | Q 11 | Page 706

One ticket is drawn at random from a bag containing tickets numbered 1 to 40. The probability that the selected ticket has a number, which is a multiple of 7, is

  • `1/7`

  • `1/8`

  • `1/5`

  • `7/40`

Multiple choice Questions | Q 12 | Page 706

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

  • `1/3`

  • `0.3`

  • 33%

  • `7/6`

Multiple choice Questions | Q 13 | Page 706

If the probability of winning a game is 0.4, the probability of losing it is

  • 0.96

  • `1/0.4`

  • `0.6`

  • none of these

Multiple choice Questions | Q 14 | Page 707

If an event cannot occur then its probability is

  • 1

  • `1/2`

  • `3/4`

  • 0

Multiple choice Questions | Q 15 | Page 707

There are 20 tickets numbered as 1, 2, 3,..., 20 respectively. One ticket is drawn at random. What is the probability that the number on the ticket drawn is a multiple of 5?

  • `1/4`

  • `1/5`

  • `2/5`

  • `3/10`

Multiple choice Questions | Q 16 | Page 707

There are 25 tickets numbered 1, 2, 3, 4,..., 25 respectively. One ticket is draw at random. What is the probability that the number on the ticket is a multiple of 3 or 5?

  • `2/5`

  • `11/25`

  • `12/25`

  • `13/25`

Multiple choice Questions | Q 17 | Page 707

Cards, each marked with one of the numbers 6, 7, 8,..., 15, are placed in a box and mixed thoroughly. One card is drawn at random from the box. What is the probability of getting a card with a number less than 10?

  • `3/5`

  • `1/3`

  • `1/2`

  • `2/5`

Multiple choice Questions | Q 18 | Page 707

A die is thrown once. The probability of getting an even number is

  • `1/2`

  • `1/3`

  • `1/6`

  • `5/6`

Q 19 | Page 707

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

  • `2/5`

  • `5/6`

  • `1/3`

  • `2/3`

Multiple choice Questions | Q 20 | Page 707

A die is thrown once. The probability of getting an odd number greater than 3 is 

  • `1/3`

  • `1/6`

  • `1/2````

Multiple choice Questions | Q 21 | Page 707

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

Multiple choice Questions | Q 22 | Page 707

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

  • `1/2`

  • `1/3`

  • `1/6`

  • `1/12`

Multiple choice Questions | Q 23 | Page 708

The probability of getting 2 heads, when two coins are tossed, is

  • 1

  • `3/4`

  • `1/2`

  • `1/4`

Multiple choice Questions | Q 24 | Page 708

Two dice are thrown simultaneously. What is the probability of getting a doublet?

  • `1/36`

  • `5/12`

  • `1/6`

  • `2/3`

Multiple choice Questions | Q 25 | Page 708

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

  • `1/4`

  • `1/2`

  • `2/3`

  • `3/4`

Multiple choice Questions | Q 26 | Page 708

Three coins are tossed simultaneously. What is the probability of getting exactly two heads?

  • `1/2`

  • `1/4`

  • `3/8`

  • `3/4`

Multiple choice Questions | Q 27 | Page 708

In a lottery, there are 8 prizes and 16 blanks. What is the probability of getting a prize?

  • `1/2`

  • `1/3`

  • `2/3`

  • none of these

Multiple choice Questions | Q 28 | Page 708

In a lottery, there are 6 prizes and 24 blanks. What is the probability of not getting a prize?

  • `3/4`

  • `3/5`

  • `4/5`

  • none of these

Multiple choice Questions | Q 29 | Page 708

A box contains 3 blue, 2 white and 4 red marbles. If a marbles. If a marble is drawn at random from the box, what is the probability that it will not be a white marble?

  • `1/3`

  • `4/9`

  • `7/9`

  • `2/9`

Multiple choice Questions | Q 30 | Page 708

A bag contains 4 red and 6 black balls. A ball is taken out of the bag at random. What is the probability of getting a black ball?

  • `2/5`

  • `3/5`

  • `1/10`

  • none of these

Multiple choice Questions | Q 31 | Page 708

A bag contains 8 red, 2 black and 5 white balls. One ball is drawn at random. What is the probability that the ball drawn is not black?

  • `18/15`

  • `2/15`

  • `13/15`

  • `1/3`

Multiple choice Questions | Q 32 | Page 709

A bag contains 3 white, 4 red and 5 black balls. One ball is drawn at random. What is the probability that the ball drawn is neither black nor white?

  • `1/4`

  • `1/2`

  • `1/3`

  • `3/4`

Multiple choice Questions | Q 33 | Page 709

A card is drawn at random from a well-shuffled deck of 52 cards. What is the probability of getting a black king?

  • `1/13`

  • `1/26`

  • `2/39`

  • none of these

Multiple choice Questions | Q 34 | Page 709

From a well-shuffled deck of 52 cards, one card is drawn at random. What is the probability of getting a queen?

  • `1/13`

  • `1/26`

  • `4/39`

  • none of these

Multiple choice Questions | Q 35 | Page 709

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

  • `1/26`

  • `3/26`

  • `3/13`

  • `4/13`

Multiple choice Questions | Q 36 | Page 709

Once card is drawn at random from a well-shuffled deck of 52 cards. What is the probability of getting a black face card?

  • `1/26`

  • `3/26`

  • `3/13`

  • `3/14`

Multiple choice Questions | Q 37 | Page 709

One card is drawn at random from a well-shuffled deck of 52 cards. What is the probability of getting a 6?

  • `3/26`

  • `1/52`

  • `1/13`

  • none of these

Chapter 15: Probability

Exercise 15AExercise 15BMultiple choice QuestionsOthers

R.S. Aggarwal Secondary School Mathematics Class 10 (for 2019 Examination)

Secondary School Mathematics for Class 10 (for 2019 Examination) - Shaalaa.com

R.S. Aggarwal solutions for Class 10 Mathematics chapter 15 - Probability

R.S. Aggarwal solutions for Class 10 Maths chapter 15 (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 Secondary School Mathematics for Class 10 (for 2019 Examination) solutions in a manner that help students grasp basic concepts better and faster.

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Concepts covered in Class 10 Mathematics chapter 15 Probability are Sample Space, Concept Or Properties of Probability, Simple Problems on Single Events, Introduction to Probability, Probability - A Theoretical Approach, Probability Examples and Solutions.

Using R.S. Aggarwal Class 10 solutions Probability exercise by students are an easy way to prepare for the exams, as they involve solutions arranged chapter-wise also page wise. The questions involved in R.S. Aggarwal Solutions are important questions that can be asked in the final exam. Maximum students of CBSE Class 10 prefer R.S. Aggarwal Textbook Solutions to score more in exam.

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