384.Six Heads from a Random Coin
★★★conditional probabilityCh. 2 — Axiomatic and Conditional Probability444+ Problems in Probability
A bag contains biased coins whose heads-probability has density on . You draw a coin at random and toss it 6 times, winning if all 6 tosses are heads. What is your probability of winning?
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Condition on the coin: — integrate against the density.
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