Track: High School STEM Poster Competition

Abstract

Poker is a very popular gambling game in casinos, but except professionals, most poker players lose money without applying probability statistics. This paper studies the poker probability by using a partial deck (a total 16 AKQJ cards with up to 6 players). The authors have used combination formula and derived general formulas of matching probability for each matching pattern. To simplify probability simulation, partial deck poker game was designed which can increase the matching probability significantly on some higher ranked patterns such as “Full House”. With this creative AKQJ game, the winning patterns are 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 can be very competitive since the basic Poker probability would be calculated to guide each poker player on their betting to avoid any 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. Through this Poker AKQJ data simulation based on the worst-case probability, the poker players may avoid gambling disorder and lose a lot of money.