Poker probability pair. Note that since suits have no relative value in poker, two hands can be considered identical if one hand can be transformed into the other by swapping suits. For example, the hand 3♣ 7♣ 8♣ Q♠ A♠ is identical to 3♦ 7♦ 8♦ Q♥ A♥ because replacing all of the clubs in the first hand with diamonds and all of the spades with hearts produces the second hand. So eliminating identical hands that ignore relative suit values, there are only 134,459 distinct hands. The number of distinct poker hands is even smaller. For example, 3♣ 7♣ 8♣ Q♠ A♠
Poker Effective Hand Strength (EHS) algorithm hands. The underlying assumption is that an Effective Hand Strength (EHS) is composed of the current Hand Strength (HS) and its potential to improve or deteriorate (PPOT and NPOT): where: Hand Strength (HS) will enumerate all possible opponent hand cards and count the occurrences where our hand is strongest (+50% of the cases where we are tied): codice_1 In addition, EHS will consider the hand potential (i.e. its probabilities to improve or deteriorate): codice_2 EHS is applicable to a wide variety of poker games such as Texas hold 'em poker, Omaha hold 'em poker, ... Given the complexity of the