- #1
Unite1133
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If you have a standard deck of 52 cards, what is the probability that out of a hand of 5 cards you get 4 aces?
First I found the total # of ways for choosing 5 cards from 52 = (52 C 5) = 2,598,960
Then the # of hands which has 4 aces is 48 (because the 5th card can be any of 48 other cards).
So there is 1 chance in (2,598,960/48) = 54,145 of being dealt 4 aces in a 5 card hand.
The probability is 1/54,145 ≈ .0018469%
Did I do this right?
First I found the total # of ways for choosing 5 cards from 52 = (52 C 5) = 2,598,960
Then the # of hands which has 4 aces is 48 (because the 5th card can be any of 48 other cards).
So there is 1 chance in (2,598,960/48) = 54,145 of being dealt 4 aces in a 5 card hand.
The probability is 1/54,145 ≈ .0018469%
Did I do this right?