Well, "C: the probability (A intersection B) = probability of A . probability of B (mutually exclusive events)" which i agree but you can't assume this :" I have taken let P(A) be the event that coin 1 lands on heads or tails...and P(B) lands on heads or tails" as the Q specifically tells that A lands on head and B lands on tail... And what do I have to show which makes A, B,C pairwise independet ? Like If I show the below condition, then I can say they are independent.. P(A)= E1, P(B)= E2, P(C)= E3 P(E1E2E3) =P(E1) P(E2) P(E3) & ( Intersection of E1E2E3) P(E1E2)=P(E1)P(E2)& P(E1E3)=P(E1)P(E3)& P(E2E3)=P(E2)P(E3) thanks....