Game ll
- 1. THE DIE IS CAST Team LL
- 2. DESCRIPTION To play this game, all you do is roll two dice and add the totals together. If the total is 2 or 12, you lose 35 dollars. If the total is 3 or 11 you lose 15 dollars. If the total is 4 or 10 you lose 10 dollars. If the total is 5 or 9, you don’t lose or gain any money. If the total is 6 or 8, you get 5 dollars. If the total is 7, you gain 20 dollars. This game is attractive to the player because 7 is the most likely outcome, and 2 and 12 are the least likely.
- 3. PREDICTED DATA We predicted a mean of .555, meaning we would make $0.56 on average off of each game played. The predicted standard deviation was 1.727.
- 4. EXPERIMENTAL DATA The mean from our experiment was -.8, meaning we averaged losing $.80 per game played. The standard deviation was 2.62
- 5. VIDEO
- 6. RESULTS Our experimental results were much worse for us than the predicted, because we averaged $1.35 less per game played. This was due to the unusually high number of 7s rolled, which would not happen over a larger sample size. The standard deviation was also much larger, also due to the smaller sample size. Over a longer period of time and more games played, the average would rise and we would make money. The standard deviation would lower. We don’t really think we could improve this because it is enticing to the players but we will still make money in the long run.