Conditional Probability

Question

Let P(E) = 0.25, P(F) = 0.45, and P(E ∩ F) = 0.15. Draw a Venn diagram and find the conditional probabilities.

(a) P(F | E ∩ F)

(b) P(E^C | E )

Any help is appreciated thanks.

Answer 1

P(F/E&F) = 1.

if you have both E and F, you necessarily have F

part B is zero

if you have the complement of E, you don't have E, you have anything but E