Question

Assertion (A): Two players, Tanya and Manya, play a table tennis match. The probability of Tanya winning the match is 0.79 and that of Manya winning the match is 0.21.

Reason (R): The sum of the probabilities of two complementary events is 1.

Options

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

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

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

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

Answer 1

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

Explanation:

Step 1 – Assertion: A is true. The two stated probabilities add up to 1: 0.79 + 0.21 = 1.

Step 2 – Reason: R is true. The probabilities of complementary events sum to 1.

Step 3 – Link: Tanya winning and Manya winning are complementary outcomes of the match, so R explains why their probabilities sum to 1.