# A Coin Flipping Game

You and your friend play a game where you take turns flipping a fair coin. If it's tails, the other player gets to take a turn; if it's heads, the current player wins and the game is over.

If you go first, what is the probability that you will win?

If this probability can be expressed as $$\frac ab$$, where $$a$$ and $$b$$ are coprime positive integers, enter your answer as $$a + b$$.

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