GC The Casino Game of Egyptian Battle Analysis
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In the casino game of Egyptian Battle, every player is dealt a card from an ordinary deck, including the dealer, and the player with the highest card value wins. In the case of a tie, the dealer wins automatically. The cards are replaced and reshuffled each round. (Ace is the highest.)
a. Simulate 15 games of one player against the dealer and determine the number of times the player wins. Repeat this process 50 more times and plot your findings on a histogram with a density curve.
b. Simulate 150 games and graphically display the cumulative proportion of winning.
c. Simulate 15, 150, 1500, 15000 games of you against the dealer. Create a table for the number of wins for each, the probability of winning a given game, etc.
d. What does part (b) show about the law of large numbers?
e. Find the theoretical probability of winning a single hand of the game
The last pages include an explanation for R studio
