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December 19, 2025Theoretical and Natural ScienceOpen Access

Optimal Strategy of a Simplified Yahtzee Game

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YLY Li

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Overview

Probability analysis reveals optimal strategies in a simplified coin game, suggesting balance between immediate scores and future potential.

Key Points

  • This research aims to find optimal strategies in a simplified version of Yahtzee using analytical methods.
  • Analyzed a coin-based Yahtzee game to allow for clearer mathematical treatment.
  • Derived optimal strategies for different scoring systems using probability analysis and game theory.
  • Explored decision-making in sequential stochastic games with varying parameters.
  • Identified the need to balance maximizing immediate scores with potential later rewards.
  • Found that effective strategies preserve diverse coin outcomes to keep multiple scoring categories open.

Cite This Study

Y Li (2025) studied this question.

synapsesocial.com/papers/69449a892f0218eca95084d1https://doi.org/10.54254/2753-8818/2026.ch30654
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