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A and B throw a die alternatively till ...

A and B throw a die alternatively till one of them gets a 6 and wins the game. Find their respective probabilities of winning, if A starts first.

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To solve the problem of finding the probabilities of A and B winning the game when they throw a die alternately until one of them gets a 6 (with A starting first), we can follow these steps: ### Step-by-Step Solution: 1. **Understanding the Probabilities**: - The probability of rolling a 6 on a die is \( P(6) = \frac{1}{6} \). - The probability of not rolling a 6 is \( P(\text{not } 6) = \frac{5}{6} \). ...
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