Answer:
P(Pair of dice greater than 7) = 5/12
Step-by-step explanation:
When rolling a pair of dice, there are 36 combinations for the rolls.
(1,1), (1,2), (1,3), .... (2,1), (2,2), .... (6,1), ... (6,6)
Of those, there are 15 where the total is greater than 7.
15/36 = 5/12
#1 #2 Sum > 7
1 1 2 FALSE
1 2 3 FALSE
1 3 4 FALSE
1 4 5 FALSE
1 5 6 FALSE
1 6 7 FALSE
2 1 3 FALSE
2 2 4 FALSE
2 3 5 FALSE
2 4 6 FALSE
2 5 7 FALSE
2 6 8 TRUE
3 1 4 FALSE
3 2 5 FALSE
3 3 6 FALSE
3 4 7 FALSE
3 5 8 TRUE
3 6 9 TRUE
4 1 5 FALSE
4 2 6 FALSE
4 3 7 FALSE
4 4 8 TRUE
4 5 9 TRUE
4 6 10 TRUE
5 1 6 FALSE
5 2 7 FALSE
5 3 8 TRUE
5 4 9 TRUE
5 5 10 TRUE
5 6 11 TRUE
6 1 7 FALSE
6 2 8 TRUE
6 3 9 TRUE
6 4 10 TRUE
6 5 11 TRUE
6 6 12 TRUE
