A and B toss coin alternately till one of them gets a head and wins the game. If A starts first, find the probability the B will win the game.

Explanation

To find the probability that B will win the game when A starts tossing the coin first, we can follow these steps:

### Step 1: Define the probabilities
Let \( P(A) \) be the probability that A wins the game, and \( P(B) \) be the probability that B wins the game. Since either A or B must win, we have:
\[ P(A) + P(B) = 1 \]

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