Distinct Biased Coins

Easy

Probability

Suppose we have a bag of distinct biased coins such that a randomly chosen coin’s probability of heads has density f(t)=2tf(t) = 2t on (0,1)(0,1). You choose a coin at random, toss it 6 times, and win if you get 6 heads. What is your probability of winning?

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Related Topics:

Continuous Random Variables

Conditional Probability

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Distinct Biased Coins

Easy

Probability

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