15. If A flips *n* + 1 and B flips *n* fair coins, show that the probability...
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15. If A flips *n* + 1 and B flips *n* fair coins, show that the probability that A gets more heads than B is $$\frac{1}{2}$$.
HINT: Condition on which player has more heads after each has flipped *n*
coins. (There are three possibilities.)
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