You toss two 6-sided dice. Find the probability that the sum is not 8.

Answer 1

4+4 = 8

5+3 = 8

3+5 = 8

6+2 = 8

2+6 = 8

5 ways to get 8

all outcomes are 2,3,4,5,6,7,8,9,10, 11,12

each with number of outcomes each of 1, 2, 3, 4, 5, 6, 5, 4, 3, 2, 1

total outcomes = 36

1-5/36 = 36/36-5/36 = 31/36 = 86 1/9 % chance of not getting an 8 with 2 dice

86.111....% chance