Two events E and F are independent. If P(E) = 0.3, P(E ∪ F) = 0.5, then P(E | F)–P(F | E) equals

Question

Philoid · Accepted Answer

Given, P(E) = 0.3, P(E ∪ F) = 0.5

Also, E and F are independent, then

P (E ∩ F)=P(E).P(F)

We know, P(E ∪ F)=P(E)+P(F)- P(E ∩ F)

P(E ∪ F)=P(E)+P(F)- [P(E) P(F)]

0.5 = 0.3 + P(F)-0.3P(F)

0.5-0.3 =(1- 0.3) P(F)

P(F)=

Since P(E|F)-P(F|E)

P(E|F)-P(F|E)

P(E|F)-P(F|E)=1/70