Events C C\,C and D D\,D are independent, with P(C)=0.4P(C)=0.4P(C)=0.4 and P(D)=0.3P(D)=0.3P(D)=0.3.
Find P(C′∩D)P(C'\cap D)P(C′∩D).
Find P(C∪D)P(C\cup D)P(C∪D).
Explain why independent events with non-zero probabilities cannot be mutually exclusive.