A fair coin is tossed. If the outcome is heads, a red hat

Chapter , Problem 16

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A fair coin is tossed. If the outcome is heads, a red hat is placed on Lornas head. If it is tails, a blue hat is placed on her head. Lorna cannot see the hat. She is asked to guess the color of her hat. Is there a strategy that maximizes Lornas chances of guessing correctly? Hint: Suppose that Lorna chooses the color red with probability and blue with probability 1 . Find the probability that she guesses correctly.

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