Team M

XTREME Jackpot Dice

XTREME GAMEPLAY

This is a dice game that costs 50 dollars per roll. Players will roll two dice. If the dice add up to a sum of 3 or 11, they will receive the small jackpot of 100 dollars. If the dice add up to a sum of 2 or 12, they will receive the XTREME jackpot of 500 dollars. Otherwise, they will get nothing.

XTREME THEORETICAL RESULTS

On average, a player would receive $38.89. With the $50 it takes to play the game, there is a net average loss of $11.11. The standard deviation is $110.58.

X (Money won)

$500 $100 $0

Probability 2/36 = 1/18 4/36 = 1/9 30/36 = 5/6

XTREME VIDEOS

Attached via e-mail.

XTREME EXPERIMENTAL RESULTS

After these 50 trials, the casino would have lost $1,400. Because this game has such large prizes compared to the price to pay the game, the variance of money won is very high. In this experiment we won $500 7/50 times, instead of the expected 3/50 times. It is hard to determine improvements to this game because of the high variance in prizes. The standard deviation in our experiment was $172.38 while the mean was $78 per roll.

X (Money won)

$500 $100 $0

Results 7/50 4/50 39/50

Expected Probability

3/50 5/50 42/50