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One ace per suit in pinochle

High school · ●●●○○ 50 pts

A player is dealt a 20-card hand from a double-deck pinochle deck of 80 cards, which contains 4 aces of each suit. Find the probability that the hand contains exactly 1 ace of each of the four suits. Round to four decimal places.

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combinationscountinghypergeometric distributiondeck of cards