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SAT® Subject Test in Math 1 & 2

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Probability of a Full House

SATSTM-57GEE1

Five cards are drawn from a standard $52$ card deck.

What is the probability that the hand drawn is a full house?

Note: A full house is a hand that consists of three of one kind and two of another kind, where a kind could be the same card type (e.g. King, 10, 5) or the same suit.

A

$\cfrac{5}{52}$

B

$\cfrac{1}{8330}$

C

$\cfrac{6}{4165}$

D

$\cfrac{1}{4165}$

E

$\cfrac{7}{335}$