If A and B are two events such that P (A) = , P (B) = and P(A ∪ B) = , then find P(A ∩ B).

Piggy bank contains 100 fifty-paise coins, 50 one-rupee coins, 20 two-rupees coins and 10 five- rupees coins. One coin is drawn at random. Find the probability that the drawn coin

(i) will be a fifty-paise coin (ii) will not be a five-rupees coin.

If A and B are mutually exclusive events such that P (A) = and P (B) = , then find P(A ∪ B).

If P (A) = , P (B) = , P(A ∪ B) = 1. Find (i) P(A ∩ B) (ii) P(A’ ∪ B’).

If a die is rolled twice, find the probability of getting an even number in the first time or a total of 8.