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Three Card Poker Ante and Play Analysis |
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3 Card Poker - Ante and Play AnalysisThe analysis of the Ante and Play bet found in Three Card Poker can be divided up into two seperate parts: a bonus component and a non-bonus component. The bonus component consists of the Ante Bet Bonus which is awarded independently of the dealer's hand or whether the player wins, loses or ties. The non-bonus component consists of the Ante bet and whether the player decides to make the Play bet or not after seeing their hand. All results in this analysis are given in terms of the initial ante bet of 1 unit as opposed to the total amount bet by the player (i.e. Ante plus Play bet if made). Therefore a house advantage of x% represents a player losing $x per every $100 bet on the Ante bet. Non-Bonus AnalysisThe non-bonus analysis was done using a program written in C++ that exhaustively analyzes all possible combinations of player and dealer hands. It is possible to reduce the combinations examined by using suit symmetries (e.g. A Number of Combinations Total Number of Combinations = 52C3 x 49C3 = 22100 x 18424 = 407170400 Optimal Strategy Results
* Optimal Strategy Bonus AnalysisUsing the Ante Bet Bonus pay table listed in the Standard Rules the player gains 0.052851 of an ante bet as calculated below. For different pay tables use the Ante and Play Odds Calculator to determine the house advantage.
Total House AdvantageThe total house advantage if the player uses optimal strategy is 3.37%. Note that the house advantage for the Ante Bet Bonus is negative as it operates in favor of the player.
* Optimal Strategy Related Pages |
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