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ICSE

**Selina Publishers Concise Mathematics Class 8 ICSE Solutions Chapter 23 Probability**

Question 1.

A die is thrown, find the probability of getting:

(i) a prime number

(ii) a number greater than 4

(iii) a number not greater than 4.

Solution:

Question 2.

A coin is tossed. What is the probability of getting:

(i) a tail? (ii) ahead?

Solution:

Question 3.

A coin is tossed twice. Find the probability of getting:

(i) exactly one head (ii) exactly one tail

(iii) two tails (iv) two heads

Solution:

Question 4.

A letter is chosen from the word ‘PENCIL’ what is the probability that the letter chosen is a consonant?

Solution:

Question 5.

A bag contains a black ball, a red ball and a green ball, all the balls are identical in shape and size. A ball is drawn from the bag without looking into it. What is the probability that the ball drawn is:

(i) a red ball

(ii) not a red ball

(iii) a white ball.

Solution:

Question 6.

6. In a single throw of a die, find the probability of getting a number

(i) greater than 2

(ii) less than or equal to 2

(iii) not greater than 2.

Solution:

Question 7.

A bag contains 3 white, 5 black and 2 red balls, all of the same shape and size.

A ball is drawn from the bag without looking into it, find the probability that the ball drawn is:

(i) a black ball.

(ii) a red ball.

(iii) a white ball.

(iv) not a red ball.

(v) not a black ball.

Solution:

Question 8.

In a single throw of a die, find the probability that the number:

(i) will be an even number.

(ii) will be an odd number.

(iii) will not be an even number.

Solution:

Question 9.

In a single throw of a die, find the probability of getting :

(i) 8

(ii) a number greater than 8

(iii) a number less than 8

Solution:

Question 10.

Which of the following can not be the probability of an event?

Solution:

Question 11.

A bag contains six identical black balls. A child withdraws one ball from the bag without looking into it. What is the probability that he takes out:

(i) a white ball,

(ii) a black ball

Solution:

Question 12.

Three identical coins are tossed together. What is the probability of obtaining:

all heads?

exactly two heads?

exactly one head?

no head?

Solution:

Question 13.

A book contains 92 pages. A page is chosen at random. What is the probability that the sum of the digits in the page number is 9?

Solution:

Question 14.

Two coins are tossed together. What is the probability of getting:

(i) at least one head

(ii) both heads or both tails.

Solution:

Question 15.

From 10 identical cards, numbered 1, 2, 3, …… , 10, one card is drawn at random. Find the probability that the number on the card drawn is a multiple of:

(i) 2 (ii) 3

(iii) 2 and 3 (iv) 2 or 3

Solution:

Question 16.

Two dice are thrown at the same time. Find the probability that the sum of the two numbers appearing on the top of the dice is:

(i) 0

(ii) 12

(iii) less than 12

(iv) less than or equal to 12

Solution:

Question 17.

A die is thrown once. Find the probability of getting:

(i) a prime number

(ii) a number greater than 3

(iii) a number other than 3 and 5

(iv) a number less than 6

(v) a number greater than 6.

Solution:

Question 18.

Two coins are tossed together. Find the probability of getting:

(i) exactly one tail

(ii) at least one head

(iii) no head

(iv) at most one head

Solution:

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