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What do you do with three pairs in Pai Gow Poker?

Put the highest pair in front and the other two pairs behind. That beats every other setting, even when the odd card is an ace.

With 10♣ 10♦ 6♥ 6♠ 4♥ 2♣ 2♦: highest pair in front +0.6872 per unit bet, middle pair +0.6389, lowest pair +0.5474.

Practice setting hands in the trainerThe house way, rule by rule

Which pair goes in front

Your seven cards

  • Two of clubs
  • Two of diamonds
  • Six of hearts
  • Six of spades
  • Ten of clubs
  • Ten of diamonds
  • Four of hearts
Your seven cardsHighest pairMiddle pairLowest pairNo pair in frontHouse way
10♣ 10♦ 6♥ 6♠ 4♥ 2♣ 2♦+0.6872+0.6389+0.5474−0.15526♥ 6♠ 4♥ 2♣ 2♦ / 10♣ 10♦
K♣ K♦ 9♣ 9♦ 6♥ 6♠ 4♥+0.7537+0.7104+0.6513+0.12869♣ 9♦ 6♥ 6♠ 4♥ / K♣ K♦
A♥ J♣ J♦ 5♥ 5♠ 3♣ 3♦+0.7008+0.6254+0.5779+0.3451A♥ 5♥ 5♠ 3♣ 3♦ / J♣ J♦
Q♣ Q♦ 9♥ 7♥ 7♠ 4♣ 4♦+0.7271+0.6707+0.6043+0.00589♥ 7♥ 7♠ 4♣ 4♦ / Q♣ Q♦

Average result per unit bet against a dealer who sets the house way (Foxwoods), after the 5% commission on wins. From the exact distribution of the dealer’s hands; it ignores that your seven cards can’t also be in the dealer’s hand, which only matters when two settings are very close. The best value in each row is green.

Why

Three pairs give you a two-pair back hand whichever pair you move, so the front decides the hand. The highest pair makes the strongest possible low hand, and two pair behind is still well above what the dealer usually holds. Playing two pair behind with odd cards in front throws away the best low hand you will see all night.

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