Abstract

Poker is a very popular gambling game in Casinos, but most Poker players tend to lose money because they do not apply the proper probability of winning and betting.  The purpose of this paper is to study the Poker probability by using a partial deck.  The ranking of matching patterns is also changed with a partial deck as compared to the full deck. The authors have used combination formulas and derived the general formulas of matching probability for each matching pattern. To simplify probability simulation, a partial deck poker game was designed, which can increase the matching probability significantly on some higher ranked patterns such as “Full House”. With this AKQJ game, the winning patterns are cut down to “Four of a Kind”, “Full House”, “Three of a Kind”, and “Two Pairs”.  If all 6 players are playing, this Poker AKQJ game would be very exciting since the basic Poker probability can be simply calculated to guide each poker player on their betting to avoid any emotional or risky move.   To study the player’s personality and psychology, each player has been assigned different playing characters based on the assigned degree of risk taking. This then introduces the neuroscience behind gambling addiction. Through such Statistical and Psychological Poker AKQJ data simulation based on the worst-case probability algorithm, the poker players may become more rational and avoid gambling disorder.