# Math Finite

A two card hand is dealt from a standard deck. What is the probability of drawing at least one face card?

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1. number of ways to draw two cards from 52 = C(52,2) = 1326

"at least two face cards" means exclude case with no face cards
which would be C(40,2) = 780

number with at least 1 face cards = 1326-780 = 546

or

number with 1 face card = C(12,1)xC(40,1) = 12x40 = 480
number with 2 face cards = C(12,2) = 66
total = 480+66 = 546

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posted by Reiny

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