Abstract
A coin tossing game Imagine you have the opportunity to take part in a coin tossing game, in which you bet on each one of a sequence of tosses of a fair coin which comes down heads (H) or tails (T) with equal probability, independently for each toss. If you predict correctly, you get back your stake plus an equal amount, if you predict wrongly, you lose your stake. This is a fair game, in the sense that if you play for a long time, you should expect to break even.
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