Homework SourseAn unbiased sixsided die X has three faces numbered 0 and th
An unbiased six-sided die X has three faces numbered 0 and three faces number 2. Another unbiased six-sided die Y has its faces numbered 0, 1, 4, 5, 8, and 9. The two dice are rolled. Let W = X + Y. a. Determine the probability distribution of W.
Solution
An unbiased six-sided die X has three faces numbered 0 and three faces number 2. Another unbiased six-sided die Y has its faces numbered 0, 1, 4, 5, 8, and 9. The two dice are rolled. Let W = X + Y. a. Determine the probability distribution of W.
Sample space of W.
0
1
4
5
8
9
0
0
1
4
5
8
9
0
0
1
4
5
8
9
0
0
1
4
5
8
9
2
2
3
6
7
10
11
2
2
3
6
7
10
11
2
2
3
6
7
10
11
x
frequency
P
0
3
0.0833
1
3
0.0833
2
3
0.0833
3
3
0.0833
4
3
0.0833
5
3
0.0833
6
3
0.0833
7
3
0.0833
8
3
0.0833
9
3
0.0833
10
3
0.0833
11
3
0.0833
Total
36
1
| 0 | 1 | 4 | 5 | 8 | 9 | |
| 0 | 0 | 1 | 4 | 5 | 8 | 9 |
| 0 | 0 | 1 | 4 | 5 | 8 | 9 |
| 0 | 0 | 1 | 4 | 5 | 8 | 9 |
| 2 | 2 | 3 | 6 | 7 | 10 | 11 |
| 2 | 2 | 3 | 6 | 7 | 10 | 11 |
| 2 | 2 | 3 | 6 | 7 | 10 | 11 |
