Math Help in Pai Gow
December 11th, 2015 at 10:59:31 AM
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I need two hit rates if someone could help here. The Pai Gow game with 52 cards plus a joker. Given the initial 7 cards, what is the hit rate for
(1) 7 card flush
(2) 6 card flush
Joker can be used in these two hands. Thanks in advance.
(1) 7 card flush
(2) 6 card flush
Joker can be used in these two hands. Thanks in advance.
December 11th, 2015 at 11:40:01 AM
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52/53 x 13/52 x 12/51 x 11/50 x 10/49 x 9/48 x 8/47
+ 1/53 x 52/52 x 12/51 x 11/50 x 10/49 x 9/48 x 8/47
for 7 card flush
+ 1/53 x 52/52 x 12/51 x 11/50 x 10/49 x 9/48 x 8/47
for 7 card flush
December 11th, 2015 at 11:44:44 AM
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7 card flush: 1-in-11228
6 card flush: 1-in-329
Probability formulas:
=4*COMBIN(13,7)/COMBIN(53,7) + 4*COMBIN(13,6)*1/COMBIN(53,7)
= 4*COMBIN(13,6)*39/COMBIN(53,7) + 4*COMBIN(13,5)*1*39/COMBIN(53,7)
6 card flush: 1-in-329
Probability formulas:
=4*COMBIN(13,7)/COMBIN(53,7) + 4*COMBIN(13,6)*1/COMBIN(53,7)
= 4*COMBIN(13,6)*39/COMBIN(53,7) + 4*COMBIN(13,5)*1*39/COMBIN(53,7)
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December 11th, 2015 at 11:57:06 AM
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Thanks to SOOPOO and teliot. I know Prof. Eliot a gaming math expert, with the beautiful quote "May the math be with you".
SOOPOO, do U do math analysis?
SOOPOO, do U do math analysis?
December 11th, 2015 at 12:02:41 PM
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Quote: teliot7 card flush: 1-in-11228
6 card flush: 1-in-329
Probability formulas:
=4*COMBIN(13,7)/COMBIN(53,7) + 4*COMBIN(13,6)*1/COMBIN(53,7)
= 4*COMBIN(13,6)*39/COMBIN(53,7) + 4*COMBIN(13,5)*1*39/COMBIN(53,7)
toilet spelled backwards, i get it
December 11th, 2015 at 12:08:27 PM
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Quote: UCivanThanks to SOOPOO and teliot. I know Prof. Eliot a gaming math expert, with the beautiful quote "May the math be with you".
SOOPOO, do U do math analysis?
Not really. I can handle simple questions. There are dozens who post here who are more math proficient than I am.
December 11th, 2015 at 12:40:12 PM
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Yes, T. Eliot, as in the infamous palindrome:Quote: shrimpboatcapttoilet spelled backwards, i get it
T. Eliot, top bard, notes putrid tang emanating, is sad. I'd assign it a name: "gnat dirt upset on drab pot toilet."
In my case, my middle name is Thomas. According to my mother, she was reading The Wasteland by T.S. Eliot when she went into labor, hence my name.
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