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Posted: **Mon Nov 15, 2021 10:13 am**

: A Coin Has Probability P Of Being Heads Where P Itself Is A Uniform 0 1 Random Variable The Coin Is Flipped Twice Gi 1 (50.11 KiB) Viewed 95 times

A coin has probability P of being heads, where P itself is a Uniform(0,1) random variable. The coin is flipped twice. Given that it comes out heads both times, what is the (posterior) (a) PDF of P? (b) expected value of P? (c) probability that the next two flips are both heads?