Two events A A\,A and B B\,B both have non-zero probability. Explain why they cannot be both mutually exclusive and independent.
Two events C C\,C and D D\,D are independent, with P(C)=0.4P(C) = 0.4P(C)=0.4 and P(C∪D)=0.58P(C \cup D) = 0.58P(C∪D)=0.58. Find P(D)P(D)P(D).
Hence find P(C′∩D)P(C' \cap D)P(C′∩D).