# Biased coin

**Discrete Mathematics**Level 3

Alice and Bob are playing with a biased coin with \(60\%\) head and \(40\%\) tail.

They repeat tossing the coin.

They decided that if a head-tail pattern appears first, Alice will win.

If a tail-head pattern appears first, Bob will win. (pattern means that they come consecutively)

(They will toss the coin repeatedly until one of them wins.)

What is the probability (in percentage) of winning for the one with higher probability? (if it is a \(50\)-\(50\), enter \(50\))

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