Math-M 118-An Unfair Coin With Pr[H] = 2/3 Is Flipped.

An unfair coin with Pr[H] = 2/3 is flipped. If the flip results in a head, then a marble is selected from an urn containing 1 red, 8 white, and 1 blue marbles. If the flip results in a tail then a marble is selected from an urn containing 2 red and 3 white marbles. If the marble selected is white, then what is the probability that a flip resulted in a head?

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