Question

A die is rolled 8 times, what is the probability that the sum of the numbers...

A die is rolled 8 times, what is the probability that the sum of the numbers that comes up is 33?

Start:

x1+x2+...+x8=33; 1<=xi<=6

C1: x1>=7 S_0 = (40C7)

C2: x2>=7 S_1 = N(C1) + N(C2) +...+N(C8)
.
.
C8: x8 >=7

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