Two standard six-sided dice are rolled and the sum of their squares computed. Find the probability that the resulting number will be an element of the set

{2,5,8,10,13,17,18,20,26,29,32,34,37,41,45,52,61,72}
{2,5,8,10,13,17,18,20,26,29,32,34,37,41,45,52,61,72}
.

1 answer

well, just list the possible outcomes:

1+1=2
1+4=5
1+9=10
...
16+36=52
25+36=61
36+36=72

how many outcomes?
how many set elements?

divide