# Mathematics - Probability

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A two-person game is played in which a fair coin is tossed until either the sequence HT (heads, tails) or the sequence TT (tails, tails) appears. If HT appears, the first player wins; if TT appears, the second player wins. Would you rather be the first or second player? Explain.

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##### Solution Summary

The probability of first and second players wins are determined. A complete, neat and step-by-step solution is provided.

##### Solution Preview

It does matter whether you choose to be Player 1 or Player 2. This is because, although coin tosses are independent,

choosing a pattern for winning is crucial.

In this game, you must choose to be Player 1 with HT as the pattern. ...

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