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A coin is to be flipped four times, in sequence. What is the probability that the number of tails will never exceed the number of

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A coin is to be flipped four times, in sequence. What is the probability that the number of tails will never exceed the number of heads? The sequence HHTH satisfiesthe description, as does HTHT. However, in each of the sequences THHH and HTTH there is a point at which the number of tails exceeds the number of heads.

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