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CONTENT:
Mathematics >>
TOPIC:
Statistics and Probability >>
LEVEL:
5, 6 >>
TITLE:
Chuck-a-Luck Probability
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The game of Chuck-a-Luck is an old carnival game which we wish to analyze in this activity. You'll have an opportunity to simulate the game and delve into its mathematics. The game is simple enough.
The "player" simply chooses a number from 1 to 6 and bets on it. Three dice are rolled and if the chosen number appears on one die, the player gets his/her money back plus the same amount. If two dice show the chosen number, then the player gets his/her original money back plus twice the amount. Finally, if all three dice show the chosen number then the player gets his/her original amount plus three times the amount.
For example, if I bet $1 on the number 5, and after the roll of the three dice two 5's show heads-up, I get my $1 back plus $2 more.
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