# How many 5 card poker hands contain exactly 3 aces possible?

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Date created: Wed, Jan 27, 2021 11:20 AM
Date updated: Wed, Jun 22, 2022 1:16 AM

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## Top best answers to the question Â«How many 5 card poker hands contain exactly 3 aces possibleÂ»

How to show that there are 4704 ways to choose 5 cards with exactly 3 Ace's from a deck of 52 cards?

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POKER PROBABILITIES (FIVE CARD HANDS) In many forms of poker, one is dealt 5 cards from a standard deck of 52 cards. The number of different 5 -card poker hands is. 52 C 5 = 2,598,960. A wonderful exercise involves having students verify probabilities that appear in books relating to gambling. For instance, in Probabilities in Everyday Life, by John D. McGervey, one finds many interesting tables containing probabilities for poker and other games of chance. This article and the tables below ...

For example, you could ask yourself how many 3-card poker hands with 1 ace can you make from a deck of cards that has 2 aces and 5 non-aces. Varying the small numbers can also help you find patterns that might allow you to guess the form of the answer. \$\endgroup\$ â€“ Michael Joyce Nov 14 '12 at 3:41

(4/52 x 3/51 x 2/50 x 1/49 x 36/48 x 5 x 24) x (52! - 47!) = 36 Four cards are common to every hand (the 4 aces). The only variation is in the 5th card. At this point there are 48 cards that could be the fifth card. 12 of them are clubs, which wou...

24 five-card hands contain exactly 3 kings and 2 aces.

In this video we will go over the number of ways of getting the most common poker or sought poker hands using combinations and the multiplication principleâ€¦

Question 142571: How many 5-card hands having exactly 3 aces and 2 other cards can be dealt? Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website! How many 5-card hands having exactly 3 aces and 2 other cards can be dealt?-----# of ways to pick 3 aces: 4C3 = 4 # of ways to pick 2 other cards: 48C2 = 48*47/1*2 = 1128-----Total # of 5-card hands with 3 aces and 2 other cards: 4*1128 = 4512 ===== Cheers, Stan Hâ€¦

If you want to find the number of possible five-card hands with exactly three aces, there are 4 choose 3 ways of holding 3 aces with 48 choose 2 ways to select the remaining 2 cards for the hand (the final ace is not available as a remaining card in the deck), leaving us with only 48 cards instead of 49 to choose from in order to complete the hand.

There are 2,598,960 many possible 5-card Poker hands. Thus the probability of obtaining any one specific hand is 1 in 2,598,960 (roughly 1 in 2.6 million). The probability of obtaining a given type of hands (e.g. three of a kind) is the number of possible hands for that type over 2,598,960. Thus this is primarily a counting exercise. _____ Preliminary Calculation. Usually the order in which the cards are dealt is not important (except in the case of stud poker). Thus the following three ...