The sample space is:
| 1 + 1 = 2 | 1 + 2 = 3 | 1 + 3 = 4 | 1 + 4 = 5 | 1 + 5 = 6 | 1 + 6 = 7 |
| 2 + 1 = 3 | 2 + 2 = 4 | 2 + 3 = 5 | 2 + 4 = 6 | 2 + 5 = 7 | 2 + 6 = 8 |
| 3 + 1 = 4 | 3 + 2 = 5 | 3 + 3 = 6 | 3 + 4 = 7 | 3 + 5 = 8 | 3 + 6 = 9 |
| 4 + 1 = 5 | 4 + 2 = 6 | 4 + 3 = 7 | 4 + 4 = 8 | 4 + 5 = 9 | 4 + 6 = 10 |
| 5 + 1 = 6 | 5 + 2 = 7 | 5 + 3 = 8 | 5 + 4 = 9 | 5 + 5 = 10 | 5 + 6 = 11 |
| 6 + 1 = 7 | 6 + 2 = 8 | 6 + 3 = 9 | 6 + 4 = 10 | 6 + 5 = 11 | 6 + 6 = 12 |
(a). P(X<2) = 0
(b). P(X≥7) = 21/36 = 7/12
(c). P(X≤11) = 1 – P(X>11) = 1 – 1/36 = 35/36
(d). P(X<11) = 1 – P(X≥11) = 1 – 3/36 = 33/36 = 11/12
(e). P(X=5) = 4/36 = 1/9
(f). P(X=5 or X>10) = 1/9 + 3/36 = 7/36