Two dice are thrown at the same time. Find the probability of getting
(i) same number on both dice.

(ii) different number on both dice.

Question

Two dice are thrown at the same time. Find the probability of getting (i) same number on both dice. (ii) different number on both dice.

Philoid · Accepted Answer

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

Two dice are thrown at the same time. Find the probability of getting(i) same number on both dice.(ii) different number on both dice.