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438.One Fair Coin Saves Parity

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classical probabilityCh. 2 — Axiomatic and Conditional Probability444+ Problems in Probability
nn coins are laid out in front of you. One is fair; the other n1n-1 each show heads with probability λ\lambda, where 0<λ<10 < \lambda < 1. All nn coins are flipped. Find the probability that an even number of heads appears.

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