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Analyzing Chuk-A-Luck Game Variations: Expected Values Calculation

Explore the expected values in the Chuk-A-Luck game with a new variation involving four dice rolls. Learn how to calculate potential outcomes and winnings based on different number occurrences.

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Analyzing Chuk-A-Luck Game Variations: Expected Values Calculation

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  1. Calculating Expected Valuesfor Games Consider the game of Chuk-A-Luck. You put down $1and bet on a number from 1 to 6. I roll three die. If your number; -Doesn’t come up, I take your dollar. -Comes up once, I pay you $1. -Comes up twice, I pay you $2. -Comes up three times, I pay you $3.

  2. E(X) = -17/216

  3. Consider the following variation of Chuk-A-Luck. You put down $1 and bet on a number from 1 to 6. I roll four die. If your number; -Doesn’t come up, I take your dollar. -Comes up once, I pay you $1. -Comes up twice, I pay you $2. -Comes up three times, I pay you $3. -Comes up four times, I pay you $4.

  4. http:fym.la.asu.edu/~mat211_online/.../Probability_11-Two_Man_Games.pdfhttp:fym.la.asu.edu/~mat211_online/.../Probability_11-Two_Man_Games.pdf

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