NCERT Class X Chapter 14: Probability Exercise 14.1 Question (13)

NCERT Class X Chapter 14: Probability Exercise 14.1 Question 13

Question:

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

(i) a prime number;

(ii) a number lying between 2 and 6;

(iii) an odd number.

Given:

A die is thrown once. The sample space S = {1, 2, 3, 4, 5, 6}

To Find:

(i) Probability of getting a prime number.

(ii) Probability of getting a number between 2 and 6.

(iii) Probability of getting an odd number.

Formula:

Probability = Number of favorable outcomes Total number of outcomes

Solution:

(i) Prime numbers in S are {2, 3, 5}. Number of prime numbers = 3

Probability (prime number) = 3 6 = 1 2

(ii) Numbers between 2 and 6 are {3, 4, 5}. Number of such numbers = 3

Probability (number between 2 and 6) = 3 6 = 1 2

(iii) Odd numbers in S are {1, 3, 5}. Number of odd numbers = 3

Probability (odd number) = 3 6 = 1 2

Result:

(i) Probability of getting a prime number = 1 2

(ii) Probability of getting a number between 2 and 6 = 1 2

(iii) Probability of getting an odd number = 1 2

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