Question

Two dice are rolled once find the probability that the same number will come up either time

Answer 1

(1,1),(2,2),(3,3),(4,4),(5,5),(6,6).

Answer 2

If the two dice are fair and independent , each possibility (a,b) is equally likely. Because there are 36 possibilities in all, and the sum of their probabilities must equal 1, each singleton event {(a,b)} is assigned probability equal to 1/36.