Q73 of 108 Page 271

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

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)=


P(F)=


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






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



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

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