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Mathematics, 05.08.2021 15:10 roblesjairus

Rosencrantz chooses a coin from Guildenstern collection of one hundred pennies and promptly tosses six heads in a row. While rhapsodizing over his good luck, he learns that four of the pennies were two-headed. The probability that Rosencrantz chose one of the two-headed pennies given that he flipped six heads in a row can be expressed in the form $m/n$, where $m$ and $n$ are relatively prime positive integers. Find $m n$.

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