1. The Real Die is Cast
Team NN

2. Instructions
• The entry fee to the game is $6. Start the game by
rolling the first die. If the number face-up is an odd
number (1,3,5) then you’re out. If the number is
even, then you have the chance to roll the second
die. After you roll the second die, you will flip a coin.
The coin flip will decide whether you get to keep the
difference of the two dice or the sum of the two
dice. If you roll double 6s and get heads-up on the
coin, you win $20.

3. Expected Value/Standard Deviation
(Theoretical)
• Theoretical Expected Winnings : $2.49
• Theoretical Standard Deviation : $3.37
• Experimental Expected Winnings : $ 2.56
• Experimental Standard Deviation : $3.14

4. Experimental Probabilities
• http://youtu.be/-h4X_6nUhXo

5. Results
• The experimental winnings of the game were very close to the theoretical
winnings. The predicted mean value was $2.49 and we experimentally had
a mean of $2.56. We came up with the $6.00 fee based on the sum of the
predicted winnings and predicted standard deviation. The experimental
standard deviation of $3.14 from a mean of $2.56 proves that $6.00 is an
adequate entry fee.
• The game could be improved by adding more opportunites for greater
amounts of winnings per game. However, by adding these opportunities
we would need to either raise the price of the game or raise the
probability of winning $0.00.