+1289 To win a game with a fair coin, you must flip n+1 heads in a row, where $n$ is the total number of tails flipped so far. So if your first flip is heads, you win and the game is over; if your first flip is tails but your next two in a row are heads, you win and the game is over; and so on. What is the probability that you win by flipping one head? Express your answer as a common fraction.
+2292
To win a game with a fair coin, you must flip n+1 heads in a row, where is the total number of tails flipped so far. So if your first flip is heads, you win and the game is over; if your first flip is tails but your next two in a row are heads, you win and the game is over; and so on. What is the probability that you win by flipping one head? Express your answer as a common fraction.
It has to be heads on the first flip, so 1 / 2
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