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470.One Extra Roll for Primes

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classical probabilityCh. 6 — Random Variables and Expectation444+ Problems in Probability
Player 1 rolls a fair 6-sided die 10{,}000 times; player 2 rolls one 10{,}001 times. What is the probability that player 2 rolls strictly more primes than player 1?

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One Extra Roll for Primes | Quant Practice