During the 17th century, gambler de Méré asked Blaise Pascal an explanation for his game losses. His question was solved by Pascal and Fermat, and yielded the foundations of the theory of probability. Gamblers used to bet on the event of getting at least one ace in four rolls of a dice. As a game variation, De Méré proposed to use two die and roll them 24 times with a bet on having at least one double ace. De Méré thought the games were equivalent but he lost consistently. Explain why? Write a simulation program to empirically determine which one dice/two die game is more likely to win.

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
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During the 17th century, gambler de Méré asked Blaise Pascal an explanation for his game losses. His question was solved by Pascal and Fermat, and yielded the foundations of the theory of probability. Gamblers used to bet on the event of getting at least one ace in four rolls of a dice. As a game variation, De Méré proposed to use two die and roll them 24 times with a bet on having at least one double ace. De Méré thought the games were equivalent but he lost consistently. Explain why?

Write a simulation program to empirically determine which one dice/two die game is more likely to win.

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