A. What is the probability that a five-card poker hand contains exactly one ace? b. What is the probability that a five-card poker hand contains cards of five different kinds?

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Tona · Answer 1 · 2018-08-16T11:26:29+0000

Part (A):

$\frac{\dbinom41\dbinom{48}4}{\dbinom{52}5}\approx0.2995$

Part (B): Depends on what you mean by "different kind". If "kind" means "suit", well that's impossible, because there are only 4 suits so at least two of the cards must match suit.

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A. What is the probability that a five-card poker hand contains exactly one ace? b. What is the probability that a five-card poker hand contains cards of five different kinds?

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