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[original answer] four in 52!

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The question is not fully stated, but I assume what is being asked is "What are the chances of pulling all four aces out of 52 cards when four cards are drawn".

The answer is 1 / 270725 = 0.00000369 = 0.000369%. Approximately four out of one million.

The chances are (4*3*2*1) / (52*51*50*49) = 24 / 649700 = 1 / 270725. That is, on the first draw there is a 4/52 chance of drawing one of the four aces out of the full pack; In the 48 out of 52 cases where an ace isn't drawn, "you lose".

In the 4/52 cases where an ace is drawn first, there is a 3/51 chance of drawing one of the remaining three aces from the remaining 51 cards. If that happens, there is a 2/50 chance of drawing one of the remaining two aces from the remaining 50 cards; and then a 1/49 chance of drawing the last ace out of the remaining 49 cards.

[ If the question is "What are the chances of pulling any of the aces out of 52 cards in one draw" then "four in 52" is correct. ]

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15y ago

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Q: What are chances of pulling 4 aces out 52 cards?
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