Consider an urn containing a large number ofcoins, and
Chapter 7, Problem 7.70(choose chapter or problem)
Consider an urn containing a large number ofcoins, and suppose that each of the coins has someprobability p of turning up heads when it is flipped.However, this value of p varies from coin to coin.Suppose that the composition of the urn is suchthat if a coin is selected at random from it, then the p-value of the coin can be regarded as beingthe value of a random variable that is uniformlydistributed over [0, 1]. If a coin is selected at randomfrom the urn and flipped twice, compute theprobability that(a) the first flip results in a head;(b) both flips result in heads.
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