A three-finger Morra game is a game in which two players simultaneously show one, two, or three fingers at each round. The outcome depends on a predetermined set of rules. Here is an interesting example: If the numbers of fingers shown by A and B differ by 1, then A loses one point. If they differ by more than 1, the round is a draw. If they show the same number of fingers, A wins an amount equal to the sum of the fingers shown. Determine the optimal strategy for each player. (Enter your probabilities as fractions.) Player A should show one finger with probability , two fingers with probability , and three fingers with probability Player B should show one finger with probability , two fingers with probability , and three fingers with probability Find the expected value of the game. The expected outcome is the player A will win points per round, on average.

A three-finger Morra game is a game in which two players simultaneously show one, two, or three fingers at each round. The outcome depends on a predetermined set of rules. Here is an interesting example: If the numbers of fingers shown by A and B differ by 1, then A loses one point. If they differ by more than 1, the round is a draw. If they show the same number of fingers, A wins an amount equal to the sum of the fingers shown. Determine the optimal strategy for each player. (Enter your probabilities as fractions.) Player A should show one finger with probability , two fingers with probability , and three fingers with probability Player B should show one finger with probability , two fingers with probability , and three fingers with probability Find the expected value of the game. The expected outcome is the player A will win points per round, on average.

Name: A three-finger Morra game is a game in which two players simultaneous
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Description: A three-finger Morra game is a game in which two players simultaneously show one, two, or three fingers at each round. The outcome depends ona predetermined set of rules. Here is an interesting example: If the numbers of fingers shown by A and B dif

College Algebra

10th Edition

ISBN:9781337282291

Author:Ron Larson

Publisher:Ron Larson

Chapter8: Sequences, Series,and Probability

Section8.6: Counting Principles

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