In: Statistics and Probability
Create a simulation layout for rolling three dice 627 times. Calculate the probability of the three adding to 11.
Use Excel and show formulas used
here from excel ; we will create 3 columns(X1,X2,X3) for 3 dice rolls ; and use formula randbetween(1,6)
to have value between 1 to 6 in 627 cells in each category.
create another column Y =X1+X2+X3 to have sum of each row ;
below are the values
x1 | x2 | x3 | y |
3 | 5 | 3 | 11 |
1 | 6 | 5 | 12 |
2 | 6 | 3 | 11 |
6 | 5 | 6 | 17 |
2 | 1 | 6 | 9 |
3 | 3 | 1 | 7 |
2 | 5 | 2 | 9 |
6 | 5 | 2 | 13 |
5 | 5 | 6 | 16 |
2 | 6 | 5 | 13 |
3 | 2 | 3 | 8 |
3 | 2 | 5 | 10 |
6 | 1 | 3 | 10 |
6 | 2 | 5 | 13 |
1 | 2 | 4 | 7 |
4 | 6 | 1 | 11 |
1 | 6 | 3 | 10 |
5 | 3 | 1 | 9 |
2 | 1 | 2 | 5 |
2 | 3 | 2 | 7 |
4 | 6 | 4 | 14 |
6 | 3 | 2 | 11 |
3 | 4 | 2 | 9 |
4 | 6 | 6 | 16 |
4 | 2 | 2 | 8 |
2 | 5 | 3 | 10 |
2 | 3 | 3 | 8 |
3 | 5 | 5 | 13 |
6 | 3 | 1 | 10 |
5 | 3 | 5 | 13 |
1 | 3 | 6 | 10 |
2 | 5 | 4 | 11 |
3 | 1 | 3 | 7 |
6 | 5 | 4 | 15 |
6 | 5 | 2 | 13 |
2 | 4 | 2 | 8 |
1 | 1 | 5 | 7 |
2 | 4 | 5 | 11 |
4 | 6 | 3 | 13 |
2 | 3 | 6 | 11 |
3 | 6 | 3 | 12 |
6 | 2 | 5 | 13 |
6 | 5 | 1 | 12 |
3 | 3 | 6 | 12 |
6 | 5 | 2 | 13 |
2 | 5 | 3 | 10 |
5 | 3 | 3 | 11 |
5 | 2 | 1 | 8 |
5 | 4 | 6 | 15 |
1 | 4 | 5 | 10 |
5 | 6 | 3 | 14 |
1 | 5 | 6 | 12 |
2 | 3 | 2 | 7 |
1 | 1 | 4 | 6 |
4 | 2 | 6 | 12 |
5 | 5 | 5 | 15 |
3 | 3 | 1 | 7 |
3 | 3 | 3 | 9 |
6 | 4 | 1 | 11 |
6 | 1 | 2 | 9 |
6 | 5 | 4 | 15 |
5 | 4 | 4 | 13 |
5 | 4 | 1 | 10 |
4 | 3 | 4 | 11 |
3 | 6 | 1 | 10 |
3 | 5 | 2 | 10 |
3 | 6 | 3 | 12 |
6 | 4 | 4 | 14 |
6 | 3 | 3 | 12 |
1 | 5 | 5 | 11 |
4 | 1 | 4 | 9 |
1 | 5 | 2 | 8 |
4 | 3 | 5 | 12 |
3 | 1 | 1 | 5 |
2 | 2 | 3 | 7 |
5 | 1 | 2 | 8 |
2 | 3 | 2 | 7 |
6 | 2 | 1 | 9 |
6 | 4 | 2 | 12 |
4 | 1 | 3 | 8 |
1 | 4 | 6 | 11 |
2 | 4 | 1 | 7 |
5 | 2 | 3 | 10 |
3 | 6 | 2 | 11 |
5 | 2 | 3 | 10 |
4 | 6 | 5 | 15 |
4 | 2 | 5 | 11 |
5 | 4 | 3 | 12 |
2 | 6 | 3 | 11 |
6 | 2 | 4 | 12 |
4 | 2 | 6 | 12 |
4 | 5 | 2 | 11 |
3 | 3 | 5 | 11 |
1 | 4 | 1 | 6 |
1 | 1 | 1 | 3 |
2 | 5 | 1 | 8 |
3 | 1 | 4 | 8 |
4 | 2 | 3 | 9 |
4 | 5 | 2 | 11 |
2 | 5 | 5 | 12 |
5 | 1 | 2 | 8 |
6 | 2 | 2 | 10 |
3 | 2 | 5 | 10 |
1 | 3 | 2 | 6 |
1 | 4 | 1 | 6 |
5 | 1 | 4 | 10 |
3 | 3 | 3 | 9 |
6 | 1 | 5 | 12 |
5 | 6 | 2 | 13 |
2 | 2 | 5 | 9 |
2 | 3 | 2 | 7 |
2 | 5 | 3 | 10 |
2 | 3 | 4 | 9 |
1 | 2 | 5 | 8 |
2 | 6 | 5 | 13 |
3 | 6 | 4 | 13 |
3 | 3 | 4 | 10 |
2 | 5 | 5 | 12 |
3 | 4 | 3 | 10 |
6 | 3 | 4 | 13 |
6 | 3 | 1 | 10 |
4 | 4 | 4 | 12 |
1 | 2 | 2 | 5 |
1 | 6 | 3 | 10 |
4 | 4 | 5 | 13 |
3 | 1 | 3 | 7 |
5 | 1 | 2 | 8 |
6 | 4 | 1 | 11 |
6 | 3 | 4 | 13 |
3 | 4 | 4 | 11 |
5 | 5 | 1 | 11 |
6 | 1 | 4 | 11 |
2 | 4 | 6 | 12 |
6 | 3 | 1 | 10 |
4 | 2 | 4 | 10 |
2 | 6 | 2 | 10 |
6 | 3 | 6 | 15 |
1 | 2 | 6 | 9 |
6 | 1 | 4 | 11 |
5 | 4 | 6 | 15 |
5 | 3 | 5 | 13 |
4 | 2 | 4 | 10 |
1 | 5 | 3 | 9 |
3 | 6 | 5 | 14 |
6 | 3 | 3 | 12 |
6 | 3 | 4 | 13 |
6 | 6 | 6 | 18 |
6 | 4 | 1 | 11 |
2 | 4 | 6 | 12 |
1 | 2 | 2 | 5 |
4 | 2 | 1 | 7 |
4 | 5 | 3 | 12 |
4 | 6 | 2 | 12 |
4 | 1 | 3 | 8 |
5 | 1 | 5 | 11 |
1 | 2 | 5 | 8 |
2 | 3 | 1 | 6 |
3 | 1 | 3 | 7 |
4 | 5 | 5 | 14 |
3 | 2 | 4 | 9 |
5 | 2 | 6 | 13 |
6 | 6 | 4 | 16 |
2 | 6 | 2 | 10 |
5 | 5 | 3 | 13 |
1 | 4 | 5 | 10 |
5 | 6 | 3 | 14 |
5 | 6 | 1 | 12 |
3 | 1 | 5 | 9 |
3 | 2 | 1 | 6 |
1 | 1 | 4 | 6 |
3 | 3 | 2 | 8 |
2 | 3 | 4 | 9 |
6 | 2 | 6 | 14 |
5 | 1 | 1 | 7 |
3 | 4 | 3 | 10 |
1 | 3 | 3 | 7 |
6 | 6 | 2 | 14 |
2 | 3 | 1 | 6 |
1 | 3 | 2 | 6 |
4 | 5 | 3 | 12 |
1 | 3 | 1 | 5 |
1 | 3 | 5 | 9 |
2 | 1 | 6 | 9 |
6 | 6 | 4 | 16 |
2 | 6 | 2 | 10 |
2 | 4 | 6 | 12 |
2 | 3 | 5 | 10 |
6 | 4 | 4 | 14 |
6 | 4 | 5 | 15 |
3 | 1 | 6 | 10 |
3 | 4 | 5 | 12 |
4 | 1 | 2 | 7 |
6 | 5 | 4 | 15 |
6 | 1 | 5 | 12 |
6 | 1 | 5 | 12 |
4 | 1 | 4 | 9 |
6 | 3 | 1 | 10 |
1 | 1 | 2 | 4 |
2 | 2 | 6 | 10 |
3 | 6 | 2 | 11 |
1 | 5 | 4 | 10 |
4 | 5 | 6 | 15 |
5 | 4 | 4 | 13 |
1 | 4 | 3 | 8 |
6 | 2 | 2 | 10 |
4 | 6 | 5 | 15 |
4 | 1 | 5 | 10 |
1 | 5 | 5 | 11 |
1 | 1 | 2 | 4 |
5 | 5 | 5 | 15 |
4 | 6 | 3 | 13 |
1 | 2 | 5 | 8 |
5 | 5 | 1 | 11 |
6 | 3 | 6 | 15 |
4 | 2 | 4 | 10 |
6 | 4 | 4 | 14 |
2 | 1 | 6 | 9 |
1 | 4 | 1 | 6 |
4 | 5 | 3 | 12 |
2 | 6 | 1 | 9 |
2 | 5 | 6 | 13 |
2 | 1 | 3 | 6 |
1 | 1 | 2 | 4 |
1 | 5 | 6 | 12 |
2 | 5 | 2 | 9 |
2 | 6 | 6 | 14 |
6 | 2 | 6 | 14 |
4 | 6 | 6 | 16 |
2 | 5 | 5 | 12 |
3 | 6 | 4 | 13 |
4 | 6 | 4 | 14 |
4 | 3 | 2 | 9 |
4 | 6 | 5 | 15 |
3 | 6 | 5 | 14 |
1 | 5 | 3 | 9 |
3 | 6 | 3 | 12 |
2 | 5 | 4 | 11 |
1 | 2 | 6 | 9 |
5 | 3 | 3 | 11 |
6 | 5 | 3 | 14 |
1 | 3 | 4 | 8 |
4 | 5 | 1 | 10 |
3 | 3 | 2 | 8 |
4 | 3 | 1 | 8 |
5 | 6 | 4 | 15 |
1 | 3 | 1 | 5 |
5 | 6 | 1 | 12 |
2 | 1 | 5 | 8 |
6 | 5 | 4 | 15 |
1 | 3 | 2 | 6 |
2 | 5 | 3 | 10 |
6 | 2 | 6 | 14 |
3 | 3 | 1 | 7 |
5 | 1 | 1 | 7 |
4 | 4 | 5 | 13 |
6 | 5 | 6 | 17 |
4 | 3 | 4 | 11 |
4 | 6 | 5 | 15 |
5 | 1 | 4 | 10 |
5 | 2 | 4 | 11 |
5 | 5 | 5 | 15 |
2 | 4 | 1 | 7 |
3 | 3 | 6 | 12 |
6 | 1 | 1 | 8 |
4 | 2 | 4 | 10 |
3 | 5 | 1 | 9 |
4 | 3 | 2 | 9 |
6 | 4 | 1 | 11 |
2 | 6 | 4 | 12 |
5 | 2 | 6 | 13 |
6 | 2 | 1 | 9 |
3 | 1 | 6 | 10 |
4 | 2 | 5 | 11 |
4 | 5 | 2 | 11 |
2 | 1 | 3 | 6 |
1 | 5 | 2 | 8 |
6 | 6 | 5 | 17 |
4 | 3 | 6 | 13 |
5 | 5 | 4 | 14 |
4 | 4 | 5 | 13 |
4 | 6 | 5 | 15 |
2 | 2 | 3 | 7 |
5 | 3 | 2 | 10 |
3 | 3 | 2 | 8 |
6 | 1 | 3 | 10 |
6 | 4 | 4 | 14 |
2 | 2 | 3 | 7 |
3 | 5 | 3 | 11 |
6 | 1 | 3 | 10 |
6 | 4 | 2 | 12 |
3 | 4 | 6 | 13 |
6 | 4 | 3 | 13 |
5 | 5 | 3 | 13 |
1 | 5 | 6 | 12 |
6 | 6 | 2 | 14 |
1 | 5 | 4 | 10 |
5 | 3 | 2 | 10 |
4 | 2 | 4 | 10 |
6 | 5 | 6 | 17 |
4 | 6 | 6 | 16 |
6 | 3 | 3 | 12 |
5 | 4 | 3 | 12 |
3 | 3 | 6 | 12 |
3 | 5 | 4 | 12 |
6 | 1 | 4 | 11 |
4 | 5 | 1 | 10 |
6 | 4 | 5 | 15 |
3 | 4 | 4 | 11 |
5 | 6 | 1 | 12 |
1 | 5 | 1 | 7 |
6 | 6 | 1 | 13 |
4 | 4 | 6 | 14 |
1 | 4 | 2 | 7 |
6 | 6 | 1 | 13 |
1 | 1 | 1 | 3 |
4 | 5 | 6 | 15 |
3 | 6 | 5 | 14 |
1 | 5 | 2 | 8 |
6 | 1 | 3 | 10 |
5 | 2 | 4 | 11 |
4 | 5 | 4 | 13 |
2 | 6 | 1 | 9 |
5 | 4 | 3 | 12 |
3 | 5 | 1 | 9 |
2 | 2 | 6 | 10 |
5 | 6 | 2 | 13 |
4 | 4 | 1 | 9 |
6 | 4 | 5 | 15 |
5 | 2 | 2 | 9 |
1 | 4 | 2 | 7 |
5 | 2 | 2 | 9 |
1 | 4 | 3 | 8 |
5 | 3 | 5 | 13 |
6 | 5 | 5 | 16 |
1 | 5 | 1 | 7 |
5 | 6 | 6 | 17 |
5 | 6 | 5 | 16 |
4 | 1 | 4 | 9 |
3 | 1 | 6 | 10 |
3 | 2 | 3 | 8 |
1 | 5 | 6 | 12 |
1 | 4 | 6 | 11 |
3 | 1 | 2 | 6 |
4 | 6 | 5 | 15 |
6 | 2 | 3 | 11 |
2 | 2 | 5 | 9 |
4 | 3 | 1 | 8 |
1 | 1 | 4 | 6 |
1 | 4 | 6 | 11 |
6 | 3 | 3 | 12 |
5 | 5 | 6 | 16 |
4 | 1 | 6 | 11 |
6 | 4 | 2 | 12 |
6 | 2 | 2 | 10 |
3 | 1 | 4 | 8 |
1 | 3 | 4 | 8 |
6 | 1 | 1 | 8 |
4 | 4 | 3 | 11 |
1 | 2 | 2 | 5 |
6 | 3 | 1 | 10 |
3 | 4 | 6 | 13 |
5 | 6 | 2 | 13 |
2 | 1 | 1 | 4 |
2 | 4 | 3 | 9 |
4 | 4 | 2 | 10 |
2 | 1 | 3 | 6 |
2 | 1 | 1 | 4 |
6 | 2 | 3 | 11 |
6 | 4 | 4 | 14 |
6 | 1 | 3 | 10 |
4 | 1 | 4 | 9 |
5 | 3 | 5 | 13 |
1 | 1 | 1 | 3 |
4 | 1 | 1 | 6 |
6 | 1 | 5 | 12 |
5 | 6 | 5 | 16 |
4 | 5 | 1 | 10 |
1 | 1 | 3 | 5 |
5 | 5 | 2 | 12 |
3 | 4 | 3 | 10 |
6 | 1 | 5 | 12 |
1 | 5 | 1 | 7 |
1 | 2 | 1 | 4 |
2 | 2 | 3 | 7 |
1 | 5 | 3 | 9 |
6 | 5 | 2 | 13 |
5 | 1 | 6 | 12 |
2 | 6 | 3 | 11 |
1 | 4 | 6 | 11 |
4 | 5 | 1 | 10 |
3 | 4 | 1 | 8 |
3 | 2 | 5 | 10 |
1 | 1 | 5 | 7 |
6 | 1 | 6 | 13 |
6 | 1 | 1 | 8 |
5 | 2 | 1 | 8 |
2 | 4 | 4 | 10 |
5 | 6 | 3 | 14 |
6 | 2 | 1 | 9 |
4 | 6 | 3 | 13 |
1 | 2 | 4 | 7 |
2 | 5 | 3 | 10 |
5 | 6 | 1 | 12 |
1 | 5 | 3 | 9 |
1 | 3 | 1 | 5 |
6 | 3 | 1 | 10 |
4 | 3 | 1 | 8 |
3 | 6 | 6 | 15 |
1 | 4 | 4 | 9 |
3 | 2 | 3 | 8 |
4 | 2 | 6 | 12 |
1 | 6 | 5 | 12 |
3 | 6 | 4 | 13 |
1 | 1 | 2 | 4 |
1 | 5 | 1 | 7 |
6 | 4 | 6 | 16 |
3 | 5 | 5 | 13 |
1 | 3 | 2 | 6 |
3 | 3 | 1 | 7 |
6 | 4 | 1 | 11 |
2 | 6 | 1 | 9 |
4 | 4 | 4 | 12 |
2 | 1 | 2 | 5 |
1 | 1 | 6 | 8 |
1 | 2 | 6 | 9 |
6 | 4 | 2 | 12 |
2 | 3 | 5 | 10 |
6 | 6 | 3 | 15 |
3 | 2 | 5 | 10 |
3 | 2 | 1 | 6 |
5 | 2 | 1 | 8 |
1 | 3 | 1 | 5 |
5 | 2 | 6 | 13 |
2 | 1 | 6 | 9 |
4 | 4 | 6 | 14 |
1 | 3 | 6 | 10 |
4 | 2 | 6 | 12 |
2 | 3 | 3 | 8 |
1 | 6 | 5 | 12 |
3 | 5 | 6 | 14 |
2 | 5 | 4 | 11 |
4 | 5 | 5 | 14 |
6 | 1 | 6 | 13 |
3 | 2 | 2 | 7 |
5 | 3 | 6 | 14 |
6 | 2 | 3 | 11 |
4 | 3 | 3 | 10 |
4 | 3 | 6 | 13 |
6 | 6 | 6 | 18 |
2 | 5 | 3 | 10 |
1 | 1 | 3 | 5 |
1 | 5 | 2 | 8 |
4 | 3 | 6 | 13 |
5 | 3 | 3 | 11 |
5 | 2 | 6 | 13 |
2 | 3 | 4 | 9 |
4 | 6 | 3 | 13 |
1 | 5 | 1 | 7 |
5 | 5 | 1 | 11 |
3 | 1 | 5 | 9 |
3 | 1 | 5 | 9 |
5 | 3 | 5 | 13 |
4 | 6 | 5 | 15 |
4 | 5 | 5 | 14 |
5 | 5 | 5 | 15 |
3 | 1 | 1 | 5 |
3 | 5 | 3 | 11 |
6 | 2 | 2 | 10 |
5 | 3 | 6 | 14 |
5 | 5 | 1 | 11 |
6 | 4 | 5 | 15 |
4 | 1 | 2 | 7 |
4 | 4 | 5 | 13 |
1 | 1 | 6 | 8 |
1 | 6 | 4 | 11 |
5 | 4 | 3 | 12 |
6 | 5 | 2 | 13 |
3 | 2 | 1 | 6 |
1 | 4 | 5 | 10 |
2 | 4 | 5 | 11 |
6 | 2 | 1 | 9 |
1 | 5 | 1 | 7 |
3 | 6 | 4 | 13 |
2 | 1 | 2 | 5 |
3 | 6 | 4 | 13 |
5 | 3 | 2 | 10 |
3 | 5 | 4 | 12 |
1 | 4 | 5 | 10 |
2 | 3 | 6 | 11 |
2 | 2 | 4 | 8 |
2 | 6 | 1 | 9 |
5 | 2 | 3 | 10 |
5 | 3 | 4 | 12 |
6 | 2 | 2 | 10 |
4 | 3 | 1 | 8 |
3 | 5 | 1 | 9 |
5 | 6 | 2 | 13 |
4 | 2 | 6 | 12 |
6 | 1 | 4 | 11 |
3 | 2 | 2 | 7 |
2 | 1 | 6 | 9 |
6 | 2 | 4 | 12 |
1 | 4 | 2 | 7 |
1 | 5 | 4 | 10 |
6 | 6 | 2 | 14 |
1 | 3 | 6 | 10 |
2 | 3 | 3 | 8 |
4 | 3 | 1 | 8 |
6 | 6 | 3 | 15 |
1 | 1 | 2 | 4 |
6 | 2 | 3 | 11 |
2 | 5 | 3 | 10 |
3 | 4 | 2 | 9 |
5 | 4 | 5 | 14 |
3 | 1 | 4 | 8 |
5 | 5 | 5 | 15 |
5 | 6 | 1 | 12 |
2 | 3 | 6 | 11 |
6 | 5 | 6 | 17 |
5 | 1 | 6 | 12 |
3 | 5 | 5 | 13 |
5 | 3 | 5 | 13 |
5 | 6 | 2 | 13 |
2 | 1 | 2 | 5 |
3 | 3 | 3 | 9 |
5 | 3 | 1 | 9 |
5 | 4 | 4 | 13 |
1 | 4 | 6 | 11 |
5 | 4 | 5 | 14 |
6 | 3 | 1 | 10 |
1 | 3 | 6 | 10 |
2 | 1 | 3 | 6 |
5 | 2 | 3 | 10 |
5 | 4 | 3 | 12 |
2 | 6 | 2 | 10 |
6 | 5 | 4 | 15 |
2 | 3 | 5 | 10 |
4 | 2 | 3 | 9 |
6 | 6 | 1 | 13 |
4 | 2 | 6 | 12 |
6 | 6 | 4 | 16 |
1 | 5 | 3 | 9 |
4 | 6 | 5 | 15 |
5 | 2 | 3 | 10 |
3 | 5 | 2 | 10 |
1 | 6 | 5 | 12 |
6 | 6 | 3 | 15 |
3 | 1 | 1 | 5 |
3 | 6 | 2 | 11 |
6 | 5 | 3 | 14 |
2 | 6 | 2 | 10 |
2 | 6 | 3 | 11 |
3 | 3 | 3 | 9 |
3 | 4 | 6 | 13 |
6 | 5 | 2 | 13 |
5 | 6 | 3 | 14 |
5 | 4 | 1 | 10 |
2 | 3 | 4 | 9 |
5 | 2 | 3 | 10 |
1 | 2 | 1 | 4 |
3 | 3 | 1 | 7 |
3 | 2 | 1 | 6 |
6 | 1 | 1 | 8 |
2 | 1 | 3 | 6 |
6 | 3 | 2 | 11 |
3 | 1 | 4 | 8 |
5 | 1 | 2 | 8 |
5 | 5 | 2 | 12 |
1 | 3 | 4 | 8 |
6 | 4 | 5 | 15 |
2 | 3 | 5 | 10 |
5 | 3 | 5 | 13 |
2 | 4 | 3 | 9 |
2 | 1 | 3 | 6 |
2 | 3 | 4 | 9 |
6 | 2 | 5 | 13 |
2 | 2 | 5 | 9 |
6 | 5 | 4 | 15 |
2 | 4 | 4 | 10 |
4 | 1 | 3 | 8 |
5 | 5 | 1 | 11 |
2 | 3 | 4 | 9 |
4 | 3 | 3 | 10 |
1 | 4 | 5 | 10 |
5 | 4 | 5 | 14 |
5 | 5 | 1 | 11 |
6 | 2 | 6 | 14 |
6 | 2 | 3 | 11 |
4 | 6 | 6 | 16 |
2 | 1 | 1 | 4 |
3 | 1 | 5 | 9 |
3 | 2 | 6 | 11 |
3 | 1 | 1 | 5 |
1 | 3 | 1 | 5 |
1 | 2 | 5 | 8 |
1 | 3 | 5 | 9 |
3 | 4 | 2 | 9 |
3 | 5 | 3 | 11 |
1 | 4 | 6 | 11 |
2 | 4 | 4 | 10 |
2 | 6 | 6 | 14 |
2 | 5 | 5 | 12 |
6 | 3 | 5 | 14 |
6 | 5 | 6 | 17 |
5 | 5 | 6 | 16 |
2 | 4 | 1 | 7 |
1 | 6 | 1 | 8 |
1 | 4 | 3 | 8 |
6 | 2 | 1 | 9 |
1 | 5 | 5 | 11 |
5 | 4 | 4 | 13 |
5 | 6 | 1 | 12 |
2 | 2 | 2 | 6 |
4 | 1 | 1 | 6 |
2 | 4 | 6 | 12 |
4 | 2 | 4 | 10 |
1 | 3 | 1 | 5 |
6 | 3 | 4 | 13 |
6 | 2 | 3 | 11 |
4 | 2 | 3 | 9 |
4 | 3 | 5 | 12 |
3 | 1 | 4 | 8 |
6 | 2 | 1 | 9 |
5 | 6 | 3 | 14 |
4 | 4 | 5 | 13 |
6 | 3 | 5 | 14 |
6 | 2 | 2 | 10 |
from above :use countif formula in Y column to count number of times 11 appears ; in above simulation it appears 72 times
hence probability of the three adding to 11 =72/627 =0.114833
(actual probability of 11 as a sum =27/216=0.125)