Do you mean "a, c, e"? A and C are sets and the is no "E".
What did you get for a, c, and e?
This is really just a matter of understanding what the Venn diagram represents.
(b) asks for \(\displaystyle P(B\cap A)\). That is the area where sets A and B overlap (ignoring set C). There is nothing in that region so \(\displaystyle P(B\cap A)= 0\).
(d) asks for the probability of the complement of C- everything that isn't in C. C consists of points 2, 5, and 6. Everything else, 1, 3, and 4, are not in C. We are told that P(1)= 0.3 and that P(3) and P(4) are both 0.1. So P(C)= 0.3+ 0.1+ 0.1= 0.5.
(f) is just a matter of knowing what "mutually exclusive" means! Two sets (or events) are "mutually exclusive" if they are completely separate (disjoint)- that they have nothing in common. I see that point 5 lies in both A and C.