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Please make sure youre answer is correct A gambler has in his pocket a fair coin and a two-headed coin. He selects one of the coins at random and flips it. What is the probability that the coin shows a head?

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Answer #1

P(coin shows head) = P(coin is fair and shows head) + P(coin is two-headed and shows head)

= 0.5 x P(fair coin showing head) + 0.5 x P(two-headed coin showing head)

= 0.5x0.5 + 0.5x1

= 0.75

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