Two different dice are tossed together. Find the probability

Two different dice are tossed together. Find the probability :

1. of getting a doublet
2. of getting a sum 10, of the numbers on the two dice. 

Answer

Total number of possible outcomes = 36

i. Doublets are (1, 1) (2, 2) (3, 3) (4, 4) (5, 5) (6, 6)

Total number of doublets = 6

Prob (getting a doublet) = 6/36 or 1/6

ii. Favourable outcomes are (4, 6) (5, 5) (6, 4) i.e., 3 

Prob (getting a sum 10) =  3/36 or 1/12