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  3. 1. (15pts) a standard 52-card deck consists of 13

1. (15pts) A standard 52-card deck consists of 13 cards from each of 4 suits (spades, hearts,...

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Advance Math

1. (15pts)
A standard 52-card deck consists of 13 cards from each of 4 suits(spades, hearts, diamonds, clubs). What is the probability that a5-card poker hand drawn from a standard 52-card deck has (pleasegive necessary explanation as the solution)

(a) (5pts) 2 clubs, 1 hearts and 2 diamonds?
(b) (5pts) 1 ace and 2 face cards (face cards refer to king, queen,or jack)?

(c) (5pts) at least one ace?
You may leave your expressions without evaluating the numericalvalue.

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