## Selina Concise Mathematics Class 8 ICSE Solutions Chapter 23 Probability

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

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### Probability Exercise 23 – Selina Concise Mathematics Class 8 ICSE Solutions

**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:**

A die has six numbers : 1, 2, 3, 4, 5, 6

∴ Number of possible outcomes = 6

**Question 2.**

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

(i) a tail? (ii) ahead?

**Solution:**

On tossing a coin once,

Number of possible outcome = 2

**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:**

Total no. of letters in the word ‘PENCIL = 6

Total Number of Consonant = ‘PNCL’ i.e. 4

**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:**

Total number of possible outcomes = 3

**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:**

A die has six numbers = 1, 2, 3, 4, 5, 6

∴ Number of possible outcomes = 6

**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:**

On a die the numbers are 1, 2, 3, 4, 5, 6 i.e. six.

∴ Number of possible outcome = 6

**Question 10.**

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

**Solution:**

The probability of an event cannot be

(ii) 3.8 i.e. the probability of an even cannot exceed 1.

(iv) i.e. -0.8 and

(vi) -2/5, This is because probability of an even can never be less than 1.

**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:**