In a survey about hobbies, the events D D\,D and E E\,E are defined as: D D\,D is the event that a person enjoys dancing, and E E\,E is the event that a person enjoys exercising. Given that P(D)=0.6P(D) = 0.6P(D)=0.6, P(E)=0.7P(E) = 0.7P(E)=0.7, and P(D∩E)=0.4P(D \cap E) = 0.4P(D∩E)=0.4, find:
P(D∪E)P(D \cup E)P(D∪E)
P(D∣E)P(D|E)P(D∣E)
P(D′∣E′)P(D'|E')P(D′∣E′)
