Create a Six Plus Hold'em Poker Odds Calculator

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I'd like you to create a calculator for Six Plus Hold'em.

The only differences of Six Plus Hold'em from normal 52-card Hold'em are as follows:

1. The game is played with a 36-card deck, with ranks (in ascending order of priority) 6, 7, 8, 9, T, J, K, Q, A.

2. In addition to the straights as per usual Hold'em rules, A6789 unsuited is also regarded as a straight that is lower than 6789T. (I.e. aces can act as fives.)

Likewise, A6789 of the same suit is a straight flush that is lower than 6789T of the same suit.

3. The ranking of 5-card hand categories is as follows, in descending order of strength:

Royal straight flush

Straight flush

Four of a kind


Full house

Three of a kind


Two pair


High card

I.e. the straight is swapped with three of a kind and the full house is swapped with the flush as opposed to standard Hold'em rankings. That's because the hitting probabilities of the hand categories with the 36-card deck in use are different from the 52-card version.

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