This document describes a dice game where rolling a 2 or 12 wins $10, sums closer to 7 win less, and rolling a 7 wins $0. The objective is to roll a 2 or 12. A simulation was run to calculate the mean and standard deviation of winnings. The video at the given link shows an example. Suggested improvements include using standard dice and running more than 50 trials for the simulation.

1. Highs and Lows
Team J

2. Description
• In this game you have to roll 2 dice and add them
together. The sum of those two numbers correspond
to an amount of money you win. The only time you
don’t win anything is if you roll a 7. In this game if
you roll a 7 then you win 0 dollars. The object of this
game is to roll a 2 or 12 since you win the highest
amount with those sums. When you get a sum of 2
or 12 you win 10 dollars. The price you win decreases
by 2 as you get closer to the middle. The price to play
this game is $4.50. X represents the amount of
money you win per game.

3. Theoretical Data- Mean

4. Theoretical Data- Standard Deviation

5. Stimulation Video
• http://www.youtube.com/watch?v=BxrXpZc9
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6. Stimulation Data- Mean

7. Stimulation Data- Standard Deviation

8. Compare and Contrast

9. Improvements
• Using regular sized dice
• Having more than 50 trials