statistics

Suppose the events B1 and B2 are mutually exclusive and complementary events such that P(B1)=0.28 and P(B2)=0.72. Consider another event A such that P(A|B1)=0.1 and P(A|B2)=0.5. Complete parts a through.
a. Find P(B1 ∩A)
b. Find P(B2 ∩A)
c. Find P(A) using results in parts a and b
d. Find P(B1|A)
e. Find P(B2|A)