Texas Hold'em is a skill and strategy game that combines elements of probability, combinatorics, and game theory. This paper explores the mathematical principles behind the game, with a focus on applying probability theory to decision-making and strategy development. Analyzing the win rates of various hand rankings, the expected value of different playstyles, and the impact of player behavior on game outcomes. By applying combinatorial analysis, we calculate the probability of hand strength and assess the strategic significance of bluffing and betting patterns. Additionally, we study game theory concepts such as Nash equilibrium and apply them to poker strategy. The most significant section is game theory. The insights gained from this mathematical approach provide a comprehensive understanding of optimal play and how mathematical rigor enhances decision-making in Texas Hold'em. This research can help us calculate the probability of our hand based on its strength, thereby improving our sensitivity to probability-based problems
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