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.
"For with much wisdom comes much sorrow." -- Ecclesiastes 1:18 (NIV)
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
