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Analysis of optimal Yahtzee scoring strategies across upper and lower sections, including expected scores, rolling probabilities, and zero-score percentages.

Bar chart showing expected optimal scores for Yahtzee upper section categories (Ones to Sixes) by roll number, probability of rolling lower section combinations (Three of a Kind, Four of a Kind, Yahtzee) by roll, and percentage of optimal games scoring zero for various lower section combinations.

Bar chart showing expected optimal scores for Yahtzee upper section categories (Ones to Sixes) by roll number, probability of rolling lower section combinations (Three of a Kind, Four of a Kind, Yahtzee) by roll, and percentage of optimal games scoring zero for various lower section combinations.

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