Question

In the following questions, a statement of Assertion (A) and a statement of Reason (R) are given:

Assertion: A die is thrown once and the probability of getting an even number is `2/3.`

Reason: The sample space for even numbers on a die is {2, 4, 6}.

Options

• Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of Assertion (A).

• Both Assertion (A) and Reason (R) are true but Reason (R) is not the correct explanation of Assertion (A).

• Assertion (A) is true but Reason (R) is false.

• Assertion (A) is false but Reason (R) is true.

Answer 1

Assertion (A) is false but Reason (R) is true.

Explanation:

A is false because when a fair die is thrown there are 6 equally likely outcomes and 3 even outcomes (2, 4, 6), so the probability = `3/6 = 1/2`, not `2/3`.

R is true because the set of even faces on a die is indeed {2, 4, 6}.