P(rolling a total of 11 or 7 on a pair of fair, 6-sided die, numbered 1 through 6)
How many ways to roll 11?
first die, second die
5,6
6,5
2 ways
How many ways to roll 7?
1,6
2,5
3,4
4,3
5,2
6,1
6 ways
How many ways to roll 11 or 7?
2 + 6 = 8 ways
How many ways to roll anything?
6 * 6 = 36
# ways you want / # ways anything can happen
8 / 36 = 2 / 9 = 0.22222
P(roll 11 or 7 ) = about 0.2222