Assertion (A) : Two players, Sania and Ashnam play a tennis match. The probability of Sania winning the match is 0.79 and that of Ashnam winning the match is 0.21. Reason (R) : The sum of probabilities of two complementary events is 1.

Step 1: Identify the events

We are given the probabilities of two events: Sania winning the match and Ashnam winning the match. Let's denote these probabilities as $P(\text{Sania wins})$ and $P(\text{Ashnam wins})$ respectively.

Step 2: Check for complementary events

In a tennis match between two players, if one player wins, the other must lose. Therefore, the event of Sania winning and the event of Ashnam winning are complementary events, assuming no ties or other outcomes are possible.

Step 3: Calculate the sum of probabilities

Adding the given probabilities, we find that their sum is 1.00. This confirms that the two events are indeed complementary and cover all possible outcomes of the match.

Step 4: Evaluate Assertion (A) and Reason (R)

Assertion (A) states the probabilities for Sania and Ashnam winning, which are given as 0.79 and 0.21 respectively. This statement is true. Reason (R) states that the sum of probabilities of two complementary events is 1, which is a fundamental principle of probability and is also true. Since the sum of the probabilities of Sania winning and Ashnam winning is 1, Reason (R) correctly explains why the given probabilities in Assertion (A) are consistent.

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