Homework SourseGiven a red and a green standard 6 sided die what is PSum of
Given a red and a green standard 6 sided die what is:
P(Sum of the two dice is not 7 and not 8)
Solution
Die 1
Die 2
Total
Die 1
Die 2
Total
Die 1
Die 2
Total
1
1
2
3
1
4
5
1
6
1
2
3
3
2
5
5
2
7
1
3
4
3
3
6
5
3
8
1
4
5
3
4
7
5
4
9
1
5
6
3
5
8
5
5
10
1
6
7
3
6
9
5
6
11
2
1
3
4
1
5
6
1
7
2
2
4
4
2
6
6
2
8
2
3
5
4
3
7
6
3
9
2
4
6
4
4
8
6
4
10
2
5
7
4
5
9
6
5
11
2
6
8
4
6
10
6
6
12
Total events =36
Number of sevens =6
Number of eights =5
Totals sevens or eights =11
P(Sum of the two dice is not 7 and not 8)
= (36-11)/36
=25/36
=0.6944
| Die 1 | Die 2 | Total | Die 1 | Die 2 | Total | Die 1 | Die 2 | Total | ||
| 1 | 1 | 2 | 3 | 1 | 4 | 5 | 1 | 6 | ||
| 1 | 2 | 3 | 3 | 2 | 5 | 5 | 2 | 7 | ||
| 1 | 3 | 4 | 3 | 3 | 6 | 5 | 3 | 8 | ||
| 1 | 4 | 5 | 3 | 4 | 7 | 5 | 4 | 9 | ||
| 1 | 5 | 6 | 3 | 5 | 8 | 5 | 5 | 10 | ||
| 1 | 6 | 7 | 3 | 6 | 9 | 5 | 6 | 11 | ||
| 2 | 1 | 3 | 4 | 1 | 5 | 6 | 1 | 7 | ||
| 2 | 2 | 4 | 4 | 2 | 6 | 6 | 2 | 8 | ||
| 2 | 3 | 5 | 4 | 3 | 7 | 6 | 3 | 9 | ||
| 2 | 4 | 6 | 4 | 4 | 8 | 6 | 4 | 10 | ||
| 2 | 5 | 7 | 4 | 5 | 9 | 6 | 5 | 11 | ||
| 2 | 6 | 8 | 4 | 6 | 10 | 6 | 6 | 12 |
