There are 36 permutations of rolling two dice. Of these, there are five that add up to a sum of 8...
6+2
5+3
4+4
3+5
2+6
This translates to an event (or sample) space of {62, 53, 44, 35, 26}.
The probability, then, of rolling a sum of 8 on two dice is 5 in 36, or about 0.1389.
Three.
Only one is.
One.
Zero is the probability of rolling a sum of 15 on two fair dice; the maximum value is 12.
The probability of not rolling a sum of six with two fair dice is 1 minus the probability of rolling a sum of six. There are 36 permutations of rolling two dice. Of these, five sum to six, 1+5, 2+4, 3+3, 4+2, and 5+1. The probability, then of rolling a sum of six is 5 in 36. The probability, then of not rolling a sum of six is 31 in 36, or about 0.8611.
Three.
216
Only one is.
There are two elements in the event space. They are the rolls (6, 5) and (5, 6) .
When you roll two dice, a 7 may occur as (1,6),(2,5),(3,4),(4,3),(5,2),(6,1) There are 6 elements in the event space.
There are 5 elements in the event space if you roll a sum of 8 with 2 dice; 2,6 & 6,2 & 3,4 & 4,3 & 4,4.
Two.
One.
There are 36 outcomes for rolling 2 dice, and there is 1 way that a 12 can occur which is 6,6. So, the probability of rolling the sum of 12 on 2 dice is 1/36.
Assuming 2 dice, it is 0.
Zero is the probability of rolling a sum of 15 on two fair dice; the maximum value is 12.
The probability of not rolling a sum of six with two fair dice is 1 minus the probability of rolling a sum of six. There are 36 permutations of rolling two dice. Of these, five sum to six, 1+5, 2+4, 3+3, 4+2, and 5+1. The probability, then of rolling a sum of six is 5 in 36. The probability, then of not rolling a sum of six is 31 in 36, or about 0.8611.