Independent vs. mutually exclusive

Question

Given the following information about events A, B, and C, determine which pairs of events, if any, are independent and which pairs are mutually exclusive.

a) P(A)=0.26 P(A/B)=0.26

b) P(B)=0.5 P(B/C)=0

c) P(C)=0.45 P(C/A)= 0.26

Answer 1

If two events, A and B, are independent, the chance of having event A is not depending the occurrence of event B, so in this case, A and B are independent.

If two events, A and B, are mutually exclusive, then if A occurs, then B will not occur, and vice versa. In this case, they are even B and C.