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

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 $P(E/F) - P(F/E)$

$=P(E)-P(F)=\frac{3}{10}-\frac{2}{7}=\frac{1}{10}$