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Participants had 30 minutes to play, so could place about 300 bets, and the prizes were capped at $250. One may prove[16] that This figure assumes p=0. Heuristic proofs of the Kelly criterion are straightforward. The function is maximized when this derivative is equal to zero, which occurs at: As an example, if a gamble has a 60% chance of winning ( p = 0.

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