Stud Poker Combinations Calculation
June 12th, 2018 at 12:43:33 AM
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Can somebody help me calculate the combinations of player wins in caribbean stud poker like royal flush = 16759740, Straight flush = 156929720, according to Wizards page. thank you
June 12th, 2018 at 6:57:20 AM
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Well, I'm pretty much on my way out the door on my vacation, but from what I can tell, there are (52)C(7) = 2,598,960 different possible hands for you to have, and for each one, there are 47 possible dealer up cards, and each different up card has (46)C(4) = 163,185 different sets of 4 down cards, so the total number of combinations = 2,598,960 x 47 x 163,185 = 19,933,230,517,200.
The number of Royal Flush combinations = the number of different hands the player can have that are a Royal Flush x the number of resulting dealer hands that are AK or better (remember, if the dealer doesn't have AK or better, it is counted as a "dealer doesn't qualify" result). Remember when counting the number of dealer hands that each different possible up card is counted separately - for example, As Kh 9h 8c 5c is five different hands.
The number of Royal Flush combinations = the number of different hands the player can have that are a Royal Flush x the number of resulting dealer hands that are AK or better (remember, if the dealer doesn't have AK or better, it is counted as a "dealer doesn't qualify" result). Remember when counting the number of dealer hands that each different possible up card is counted separately - for example, As Kh 9h 8c 5c is five different hands.
June 12th, 2018 at 8:40:39 AM
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It's too complicated to give a formula. I wrote a looping program to get those numbers you see.
"My life is spent in one long effort to escape from the commonplace of existence. These little problems help me to do so." -- Sherlock Holmes
June 12th, 2018 at 4:04:29 PM
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Probably the reason, I cant find any online. Thanks Wizard, great site and a fan here.
June 12th, 2018 at 4:04:59 PM
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Thanks, enjoy your vacation
