Video answer: Math 131 - calculating the probability of poker hands
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Frequency of 5-card poker hands
|Flush (excluding royal flush and straight flush)||1,277||0.1965%|
|Straight (excluding royal flush and straight flush)||10||0.3925%|
|Three of a kind||858||2.1128%|
Video answer: Poker hand probability: full house
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After dividing by (52-choose-5), the probability is 0.047539.
Poker probability. From Wikipedia, the free encyclopedia. Jump to navigation Jump to search. In poker, the probability of each type of 5-card hand can be computed by calculating the proportion of hands of that type among all possible hands.
Putting all of this together, we obtain the following ranking of poker hands: Poker Hand Number of Ways to Get This Probability of This Hand Royal Flush 4 0.000154% Straight Flush 36 0.00139% Four of a Kind 624 0.0240%
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
So, the probability of being dealt any combination of hands in poker is 1/2652. However, this number represents that you get a King first and then a Queen . But do you really care about their order? Not really.
P = (1/52) * (1/51) P = 1/2652. So the probability of being dealt the A and then K is 1/2652. As you might be able to work out, this is the same probability for any two exact cards, as the likelihood of being dealt A K is the same as being dealt a hand like 7 3 in that order.
Add the three scenarios!: 1098240 (hand) + 6589440 (connected) + 3294720 (flop) = 10982400 cases. Recall the amount of whole cases: 25989600. Ratio: like 0.42 or 42%. Add the two scenarios if I don't want the in-table pair: 1098240 + 6589440 / 25989600 = like 0.29 or 29%.
Case 1 (7 is a pair): (3C1) (12C1) (4C2) (11C1) Case 2 (7 is not a pair): (12C2) (4C2)^2. So the probability is: ( (3C1) (12C1) (4C2) (11C1) + (12C2) (4C2)^2)/ (52C5) But I think I'm missing something. probability poker. Share. edited Sep 1 '20 at 21:48. RobPratt. 23.1k 3.