2. How to Play Swaggy Seven
• The object of “Swaggy Seven” is to roll a pair
of die and have the two corresponding
numbers have a sum of seven. If this event
occurs, the player will then win the game,
earning a reward of $10. The player of
“Swaggy Six” will have to pay a fee of $3 to
play one round.
3. Probability of Game Outcomes
Sum
Probability
2
1/36
3
2/36
4
3/36
5
4/36
6
5/36
7
6/36
8
5/36
9
4/36
10
3/36
11
2/36
12
1/36
M(sum)= 7 Std.Deviation(sum)= 2.415
4. Simulation Outcomes
Sum
Number of Outcomes (Out of 50)
2
0- (0%)
3
3-(6%)
4
3-(6%)
5
6-(12%)
6
4-(8%)
7
10-(20%)
8
8-(16%)
9
9-(18%)
10
4-(8%)
11
2(4%)
12
1-(2%)
M(sum)= 7.28 Standard Deviation(sum)=2.173
5. Probability of Earning
Money(Theoretically)
• There is a 16.7% chance of earning a sum of
seven.
• (.806 X 0)+(.167) X $10= $1.67 = M(money
earned)
• .806[(0-1.67)x(0-1.67)]+.167[(10-1.67)X(101.67)]= $11.59=Variance
• Standard Deviation(money earned)= $3.41
6. Probability of Earning
Money(Experimentally)
• There is a 20% chance of earning a sum of
seven.
• (0.8 X 0) + (0.2) X $10= $2 = M(money earned)
• 0.8[(0-2)X(0-2)]+0.2[(10-2)X(10-2)]=
$16=Variance
• Standard Deviation(money earned)= $4
7. Theoretical Compared to Experimental
• Through our simulation of Swaggy Seven, we have
observed a 20% chance of earning a sum of seven,
which is larger than our theoretical probability, which
was 16.7%. Therefore, the chance of earning money
is greater in our simulation.
• The mean of the earnings of our experiment was
slightly larger than the mean of the theoretical
probability, while the standard deviation of the
experiment is also higher than the theoretical
standard deviation.
