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What is the probability of getting exactly three aces in a five-card poker hand dealt from an ordinary 52 card deck?
Wiki User
∙ 11y ago
The probability of getting 3 aces in the order AAABB
is; P(AAABB)
=
(4/52)∙(3/51)∙(2/50)∙(48/49)∙(47/48) =
0.0001736...
There are 5C3 =
5!/(3!∙(5-3)!) =
10 different ways in which the aces can come
out.
So the probability of getting exactly three aces in a five card Poker hand dealt
from a 52 card deck is, P(3A)
~ 10∙(0.0001736) ~ 0.001736 ~ 0.1736%
Wiki User
∙ 11y ago
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