2. If P(A) = 1/2, P(B) = 3/4, and P(A ∩ B) = 3/8, check whether A and B are independent.
3. If A and B are two events such that P(A) = 0.4, P(B) = 0.8, and P(B | A) = 0.6, find (i) P(A ∪ B) (ii) P(A ∩ B) (iii) P(A | B)
4. A fair coin is tossed three times. E: one coin shows tail, F: all tails, G: at least one is tail. Find (i) P(E | F) (ii) P(F | G) (iii) P(E | G)