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 :

$\frac{2}{7}$ $\frac{3}{35}$ $\frac{1}{70}$ $\frac{1}{7}$

$\frac{1}{70}$

The correct answer is Option (3) → $\frac{1}{70}$ $P(E∪F)+P(E∩F)=P(E)+P(F)$ as E and F are independent $⇒P(E∩F)=P(E)+P(F)$ so $0.5+0.3P(F)=0.3+P(F)$ $0.2=0.7P(F)$ $P(F)=\frac{2}{7}$ so $P(E/F) - P(F/E)$ $=P(E)-P(F)=\frac{3}{10}-\frac{2}{7}=\frac{1}{10}$