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Probability of each poker hand
Of a kind 62,838,360 .
If the highest cards are equal the second cards are compared; if they are equal too the third cards are compared, and.
This combination is sometimes known as " quads and in some parts of Europe it is called a " poker though this term for it is unknown in English.
The process of comparing first the combination and then the kickers in descending order is the same as when comparing five-card hands.Double Ace Flush Some people play with the house rule that a wild card can represent any card, including a duplicate of a card already held.Pairs 5,560,398,330 .35147850 One pair Jacks 271,070,940 .01713467 One pair Tens 570,973,200 .03609180 Ace high 33,230,400 .00210053 King high 4,334,400 .00027398 Subtotals high card only 37,564,800 .00237451 Total 15,820,024,220 .The highest type of straight flush, A-K-Q-J-10 of a suit, is known as a Royal Flush.If one player A has 8- 8- J- 9- 3 and player B has 8- 8- J- 9- 3, who will win?A minimum straight flush is the lowest that can be made with the deck in use.So J-J-A-9-3 beats J-J-A-8-7 because the 9 beats the.No Unbeatable Hand In standard poker a Royal Flush (A-K-Q-J-10 of one suit) cannot be beaten.Other straight flush 2,699,384 .While probabilities for the best 5 card hand from a deal of 10 cards (but no wild cards) poka yoke meaning and example could theoretically be directly calculated via combinatorics, it would be a formidable undertaking and computational errors/oversights would be highly probable.
Of Hands Probability of a kind 15,346,396 .00288578 Royal straight flush 14,994,664 .00281964 Other straight flush 82,169,476 .
One pair Tens 162,135,000 .21545087.
The rarer a hand the higher it ranks.
All other straight flushes are medium.
When comparing two flushes, the highest card determines which is higher.
Of a kind 159,262,448 .01006714 Full House 2,971,045,612 .18780285 Flush 3,024,664,090 .19119213 Ace high straight 459,821,010 .02906576 Other straights 2,337,332,730 .Ace to Six Many home poker players play that straights and flushes count, but that aces can be counted as low.Of a kind 65,699,934 .08730446 Full House 107,188,992 .14243662 Flush 75,893,384 .10084988 Ace high straight 32,250,420 .04285553 Other straights 103,457,100 .I have, however, heard from several home poker players who play by house rules that use this same ranking of suits to break ties between otherwise equal hands.Total Net Return Probability Average Return 2.0278.0556.0833.1111 -0.1389 -0.1667 -0.1389 -0.1111.0833.0556.0278.0834 Total 1 -0.0278 The last row shows the player's return.0278, in other words for every 1 bet the player can expect to lose.This approach is not entirely consistent, since five of a kind - five cards of equal rank - must necessarily include one duplicate card, since there are only four suits.Lowest Card Wild Some home poker variants are played with the player's lowest card (or lowest concealed card) wild.(Computer program and data by Bill Butler).