Consider a random experiment where a fair 6-faced die is rolled twice. Let X be the outcome of the first roll (either 1,2,3,4,5,or 6) and Y be the the outcome of the second roll (either 1,2,3,4,5,or 6). Define also Z as the sum of the two outcomes, that is Z=X+Y. What is P(Z>10 | X=6)? Assume the outcomes in each roll are independent.

Can you please show me how to solve this using excel (eg. norm.dist) thank you!

A) 1/6

B) 1/4

C) 1/3

D) 1/2

E) 2/3