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Poker hands are combinations of cards (when the order does not matter, but each object can be chosen only once.)
The number 52C5 of combinations of 52 cards taken 5 at a time is (52x51x50x49x48) / (5x4x3x2x1) = 2,598,960.
The number of hands which contain 4 aces is 48 (the fifth 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 odds are 54,144 to 1 against. The probabilityis 1/54145 = (approx.) 0.000018469 or 0.0018469%.
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What is the probability of getting dealt two aces in a deck of cards?
The odds are 220:1 of being dealt pocket aces.
What is the probability of being dealt 4 aces from a standard 52 card deck?
The probability, if the cards are dealt often enough, is 1.On a single deal, the prob is 3.69379*10^-6
What is the probability of getting exactly three aces in a five-card poker hand dealt from an ordinary 52 card deck?
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%
You are dealt one card from a 52 deck of cards what is the probability of being an ace?
Probability = Chance of Success / Total Chances (Chance of Success + Chance of Failure) There are 4 aces in a 52 card deck and 48 cards that are not aces. Probability of being dealt an ace = 4 / (4 + 48) = 4/52 = .0769 or about 7.7 percent
What is the combined probability of being dealt a face card and then a three as the second card from a standard 52 card deck?
Counting Aces as a face card, the answer is 0.0241 If Aces are not considered face cards, then the answer is 0.0181
