If P(F)=(1/2), P(G)=(4/5), P(E ∩ F ∩ G)=(3/10) and P(EC ∩ F ∩ G)=(1/10). The value of P(F / G) is

Question

If P(F)=(1/2), P(G)=(4/5), P(E ∩ F ∩ G)=(3/10) and P(EC ∩ F ∩ G)=(1/10). The value of P(F / G) is (A) (3/125) (B) (1/2) (C) (2/5) (D) (1/3)

Tardigrade Admin · Accepted Answer

P(F / G)=(P(F ∩ G)/P(G))=(4/10) ⋅ (5/4)=(1/2)

Q. If $P (F) = \frac{1}{2}, P (G) = \frac{4}{5}, P (E \cap F \cap G) = \frac{3}{10}$ and $P (E^{C} \cap F \cap G) = \frac{1}{10}$ . The value of $P (F / G)$ is