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In a three-flip coin race between Heads and Tails, what is the probability that the side flipped first is behind at the end?

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You flip a coin and track the lead of Heads over Tails (a 'race'; for example 7 Heads and 2 Tails after 9 flips means Heads leads by 5). The race lasts 3 flips. How likely is it that whichever side came up on the first flip is behind once all three are done?

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