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#1151
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Two people want to flip a coin to decide something, but they know the coin is "biased" – the probability of getting heads and tails is different. The question is: how can they flip a coin fairly? Assume the players don't know the exact probabilities, and it would be time-consuming and difficult to determine them.
One way is for each person to perform a series of ten flips. Whoever gets more heads wins the coin flip. If they get the same number of heads, they flip again. This way, the probability that one of them will get more heads than the other will be 50%, just like with a single flip of a normal coin.

Added 2 minutes later
Another option is for both to keep flipping until they get different results. This will determine who wins.
Всё не так плохо как Вы думаете. Всё намного хуже!