Events E E\,E and F F\,F satisfy P(E)=0.7P(E)=0.7P(E)=0.7, P(F)=0.45P(F)=0.45P(F)=0.45 and P(E∪F)=0.85P(E\cup F)=0.85P(E∪F)=0.85.
Find P(E∩F)P(E\cap F)P(E∩F).
Find P(E∣F)P(E\mid F)P(E∣F).
Determine whether E E\,E and F F\,F are independent.