Question

a die is rolled twice. the value of both rolls are added together. what is the probability of the sum being greater than 7

Answer 1

Sum can be 8,9,10,11,12.

8 can be 2+6,3+5,4+4,5+3,6+2 ...so, 5 ways
9 can be 3+6,4+5,... 4 ways
10.......4+6,6+4,5+5 ....3 ways
11.....5+6,6+5.....2 ways
12....6+6...1way
total= 5+4+3+2+1=15 favourable cases

P=15/36=5/12