If P(A ∩ B) = 4/13 and P(B) = 9/13​ then P(A/B) =

Question

If P(A ∩ B) = \(\frac 4{13}\) and P(B) = \(\frac 9{13}\) then \(P(\frac AB)\) =

(A) \(\frac 29\)

(B) \(\frac 49\)

(C) \(\frac 69\)

(D) \(\frac 89\)

Answer 1

Correct option is (B) \(\frac 49\)

P(A ∩ B) = \(\frac 4{13}\) 

P(B) = \(\frac 9{13}\)

\(P(\frac AB) = \frac{P(A \cap B)}{P(B)}\)

\(= \cfrac {\frac 4{13}}{\frac 9{13}}\)

\(= \frac 49\)