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

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

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

One number is chosen randomly from the integers 1 to 50. Find the probability that it is divisible by 4 or 6.