Two dice are thrown at the same time.

[given]

So, total number of possible outcomes = 36

(i) We have, same number on both dice.

So, possible outcomes are (1,1), (2,2), (3, 3), (4, 4), (5, 5) and (6, 6).

∴ Number of possible outcomes = 6

Now, required probability = 6/36 = 1/6

(ii) We have different number on both dice.

So, number of possible outcomes

= 36 – Number of possible outcomes for same number on both dice

_{= 36 - 6 = 30}

∴ Required probability = 30/36 = 5/6