MrTypewriter
• Posts: 4
Joined: Feb 1, 2022
February 1st, 2022 at 12:38:14 AM permalink
Im wondering if anyone knows the math behind the Pai Gow Poker Hand calculator on The Wizard of Odds site. I like the calculator but I want to know the math behind it. How I can calculate it myself. I work in a casino and been tasked with showing the percentage of Win/Tie/Lose of certain Pai Gow hands. I want to be able to show my work, so any help would be great.

I would like to also find out how to calculate the probability of getting certain Pai Gow hands.

Thanks and any help is much appreciated.
ThatDonGuy
• Posts: 6405
Joined: Jun 22, 2011
February 1st, 2022 at 9:41:44 AM permalink
Well, the "obvious" answer is, when you enter a hand, the calculator determines the possible legal hand splits, and for each one, checks all of the 53,524,680 possible 7-card hands that the dealer can receive, split according to the Foxwoods House way, and counts how many of them are wins, how many of them are pushes, and how many of them are losses.
MrTypewriter
• Posts: 4
Joined: Feb 1, 2022
February 1st, 2022 at 5:11:09 PM permalink
Ok that helps a little, is there a mathematical equation to be able to get the percentages or is it all simulation based?
ThatDonGuy
• Posts: 6405
Joined: Jun 22, 2011
February 1st, 2022 at 5:48:43 PM permalink
Quote: MrTypewriter

Ok that helps a little, is there a mathematical equation to be able to get the percentages or is it all simulation based?

It's not "simulation based"; it's "brute force" - that is, you check each of the possible dealer hands against your hand, and count how many are player wins, how many are dealer wins, and how many are pushes. There is no easy formula to calculate the totals all at once.
MrTypewriter
• Posts: 4
Joined: Feb 1, 2022
February 1st, 2022 at 6:53:54 PM permalink
Ok great, thanks for the help!
MrTypewriter
• Posts: 4
Joined: Feb 1, 2022
February 1st, 2022 at 6:53:58 PM permalink
Ok great, thanks for the help!