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# What is the probability of a dealer winning 5,6 or 7 hands in a row in Pai Gow Poker (omit pushes)

June 14th, 2012 at 11:08:38 AM permalink | |

paigowsteve Member since: Jun 14, 2012 Threads: 1 Posts: 3 | Just wondering what the percentage chance of the Pai Gow dealer winning 5,6 or 7 hands in a row, disregarding ties,pushes, since no money changes hands. |

June 14th, 2012 at 11:44:27 AM permalink | |

buzzpaff Member since: Mar 8, 2011 Threads: 112 Posts: 5328 | 7 hands is 127.345627 approximately. |

June 14th, 2012 at 11:57:57 AM permalink | |

rdw4potus Member since: Mar 11, 2010 Threads: 78 Posts: 5756 |
I'm glad you rounded that off:-) the dealer wins a little over 50% of the time, depending on the exact set of hand-setting rules that the player and dealer are using. so .5ish^n is the formula to use to find the probability of the dealer winning n hands in a row. taking 1/result will give the to-1 version of the answer (like Buzz's 1:127 above) "So as the clock ticked and the day passed, opportunity met preparation, and luck happened." - Maurice Clarett |

June 14th, 2012 at 1:09:30 PM permalink | |

98Clubs Member since: Jun 3, 2010 Threads: 42 Posts: 1506 | I actually got 1 in 109.75 using 28.61% as Player and 29.91% as Dealer figuring 7 straight Dealer wins no push. This from WoO site. Nonetheless, rather common. For 7 straight hands dealt the odds are about 1 in 4670 that the Dealer will win all 7. "Whoa, 13% grade next two miles." That's OK son, I got the love of Jesus, 20 to 1 compression, and a Jacobs. |

June 14th, 2012 at 3:56:41 PM permalink | |

paigowsteve Member since: Jun 14, 2012 Threads: 1 Posts: 3 | THANKS, seems a little stronger than I thought, but Thanks for the quick answer. |

June 14th, 2012 at 4:20:12 PM permalink | |

RaleighCraps Member since: Feb 20, 2010 Threads: 65 Posts: 2029 | Well, if RaleighCraps is at the table the odds of the dealer winning 100 in a row is about 1:1. Man I hate the way that game treats me................... Always borrow money from a pessimist; They don't expect to get paid back !
Be yourself and speak your thoughts. Those who matter won't mind, and those that mind, don't matter! |

June 14th, 2012 at 5:47:43 PM permalink | |

mustangsally Member since: Mar 29, 2011 Threads: 8 Posts: 899 | The answers given so far are for exactly the very next 7 non-tie hands. I also get a 51.11% win probability for the Dealer. .91% or 1 in 109.8 for the very next 7 hands The average number of hands looks to be about 223 to see 7 in a row. What would the probability be in the next 50 hands? And there could even be 2 such streaks? 18.7% about 18 times more likely How about 100 hands? 35.4% for at least 1 such streak of 7 wins in a row (over 350,000 out of 1 million players would see such a streak in 100 hands) 6.2% for at least 2 such streaks of 7 wins in a row (about 1 in 16) How about 1000 hands? One can expect to see, on average, about 4.4 such streaks and about a 1 in 6 chance of seeing at least 7 such streaks of 7 winners in a row by the Dealer. Streak Calculator Includes Links to spreadsheets and the math to do this yourself if interested. Sally I Heart Vi Hart |

June 14th, 2012 at 8:29:47 PM permalink | |

paigowsteve Member since: Jun 14, 2012 Threads: 1 Posts: 3 | THANKS for the link to the Streak Calculator, Mustangsally |