A and B throw a pair of dice alternately. A wins the game if he gets a total of 7 and B wins the game if he gets a total of 10. If A starts the game, then find the probability that B wins.

Explanation

To solve the problem, we need to find the probability that player B wins the game given that player A starts. A wins if he rolls a total of 7, while B wins if he rolls a total of 10.

### Step 1: Calculate the probabilities of A and B winning in a single turn.

1. **Total outcomes when rolling two dice**:
- There are 6 faces on each die, so the total number of outcomes is \(6 \times 6 = 36\).

2. **Favorable outcomes for A (total of 7)**:
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