Determine probability that coin is two-headed

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A box has three coins in it. One has heads on both sides, one has tails on both sides, and the third is a fair coin with heads on one side and tails on the other. A coin is selected at random and flipped.

(a) If the result of the flip is heads, what is the probability that the coin is two-headed?

(b) If the result of the flip is heads, what is the probability that a second flip will also be heads.

(c) If the selected coin is flipped twice and comes up heads twice in a row, what is the probability that the coin is two-headed?

Reference no: EM13112472

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