A tennis match of best of 5 sets is played by two players A and B. The probability that first set is won by A is 1/2 and if he losed the first, then probability of his winning the next set is 1/4, otherwise it remains same. Find the probability that A wins the match.

Explanation

To solve the problem of finding the probability that player A wins a best of 5 sets tennis match against player B, we can break down the scenarios in which A can win the match based on the outcomes of the sets.

### Step-by-Step Solution:

1. **Understanding the Match Format**:
- A player needs to win 3 sets to win the match. The possible outcomes for A winning the match can be:
- A wins 3-0
- A wins 3-1
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