T E A M L

50/50

HOW TO PLAY

• You will need 1, 6-sided die• Costs $4 to play• Win every time!• Roll an even number and win $4• Roll an odd and win $1• This way, the expected outcome will have a house

advantage of $1.50 on every game.

THEORETICAL

Money($) $4 (even) $1(odd)

P($) .5 .5

Mean = 4 (.5) + 1 (.5) = 2.5

Standard Deviation = (4-2.5)2 (.5) + (1-2.5)2 (.5) =√2.25 = 1.5

EXPERIMENTAL

# Times rolled

Total

1 IIIIIIII 8

2 IIIIIIIII 9

3 IIIIII 6

4 IIIIIII 7

5 IIIIIIIII 9

6 IIIIIIIIIII 11

Money $4 (even)

$1(odd)

P($) 27/50 = .54

23/50 = .46

Mean = 4(.54) + 1(.46) =2.62

Standard Deviation = (4-2.62)2 (.54) + (1-2.62)2 (.46) = √2.24 = 1.5

CONCLUSION

• The results from the simulation data were pretty similar to the expected outcome. Our theoretical mean was 2.5 and the experimental mean was 2.62. Also, the standard deviation of the theoretical was 1.5 and the standard deviation of the experimental was 1.5 as well. We think this shows how accurate our results were and that the experiment was carried out properly and well.

• Instead of using two tables, we could have improved by finding out a better way to display the data we found from the experiment.

• We also could have maybe expanded on the ways to win money instead of just odds or evens. We could have made a rule where you lose all or your money or just some of it.