# Solution of Chapter 24. Probability (RS Aggarwal - Mathematics Book)

## Exercise 24A

1

A coin is tossed. What are all possible outcomes?

(i) Two coins are tossed simultaneously. What are all possible outcomes?

(ii) A die is thrown. What are all possible outcomes?

(iii) From a well-shuffled deck of 52 cards, one card is drawn at random. What is the number of all possible outcomes?

2

In a single throw of a coin, what is the probability of getting a tail?

3

In a single throw of two coins, find the probability of getting (i) both tails, (ii) at least 1 tail,(iii) at the most 1 tail.

4

A bag contains 4 white and 5 blue balls. They are mixed thoroughly and one ball is drawn at random. What is the probability of getting (i) a white ball? (ii) a blue ball?

5

A bag contains 5 white, 6 red and 4 green balls. One ball is drawn at random. What is the probability that the ball drawn is (i) green?(ii) white? (iii)non-red?

6

In a lottery, there are 10 prizes and 20 blanks. A ticket is chosen at random. What is the probability of getting a prize?

7

It is known that a box of 100 electric bulbs contains 8 defective bulbs. One bulb is taken out at random from the box. What is the probability that the bulb drawn is (i) defective? (ii) non-defective?

8

A die is thrown at random. Find the probability of getting (i) 2 (ii) a number less than 3 (iii) a composite number (iv) a number not less than 4.

9

In a survey of 200 ladies, it was found that 82 like coffee while 118 dislike it. From these ladies, one is chosen at random. What is the probability that the chosen lady dislikes coffee?

10

A box contains 19 balls bearing numbers 1, 2, 3 ..., 19 respectively. A ball is drawn at random from the box. Find the probability that the number on the ball is (i) a prime number (ii) an even number (iii) a number divisible by 3.

11

One card is drawn at random from a well-shuffled deck of 52 cards. Find the probability that the card drawn is (i) a king (ii) a spade (iii) a red queen (iv) a black 8.

12

One card is drawn at random from a well-shuffled deck of 52 cards. Find the probability that the card drawn is (i) a 4 (ii) a queen (iii) a black card.

## Exercise 24B

1

In a spinning wheel, there are 3 white and 5 green sectors. It is spinned. What is the probability of getting a green sector?

2

8 cards are numbered as 1, 2, 3, 4, 5, 6, 7, 8 respectively. They are kept in a box and mixed thoroughly. Once card is chosen at random. What is the probability of getting a number less than 4?

3

Two coins are tossed simultaneously. What is the probability of getting one head and one tail?

4

A bag contains 3 white and 2 red balls. One ball is drawn at random. What is the probability that the ball drawn is red?

5

A die is thrown. What is the probability of getting 6?

6

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