Question

A box contains 2 coins: one has probability 1/2 of heads, while the other has unknown...

A box contains 2 coins: one has probability 1/2 of heads, while the other has unknown probability p, 0<=p<=1, of heads. A coin is selected at random and flipped. It is then replaced in the box, and this entire procedure is repeated another time. If 2 heads are observed, what is the value of the maximum likelihood estimator of p?

A) 1/4

B) 1/2

C) 3/4

D) 1

E) doesn't exist

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