Alex flips a fair coin 20 times. Bert spins a fair coin 21
times. Bert wins if he gets more heads than Alex, else Alex wins.
Note that Alex wins if there is a tie. What is the probability that
Bert wins?
Would be .5 or 1/2. Since their first 20 attempts would result in 50/50 proposition, the one players 21st turn would be meaningless if winner already determined-- and would present the same probability if tied after 20 rounds.
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