P(E | FC )   (b)    P(F | EC )

Let P(E) = 0.4, P(F) = 0.3, and P(F ∩ E) = 0.2. Draw a Venn diagram and find the conditional probabilities. (a)    P(E | FC )(b)    P(F | EC )

For each set of probabilities, determine whether the events A and B are independent or dependent. (If necessary, consult a list of formulas.) Probabilities Independent Dependent = P(A 18) - 1 (a) P(A)=-;P(B) =;P(A\B) = 5 1 1 P(A) =;P (B) = P(A and B) = %3D 4 6. 1 1 P (B|A) = 1 (c) P(4)-극: P(B)-P(Bl4): %3D %3D 1 1 (d) P(A) = : P(B) = P(4 |B) = | %3D

Determine if the events E and F are independent. P(E) = 0.76, P(F) = 0.7, P(En F) = 0.51 O independent O not independent O cannot be determined

Let P(E) 0.45, P(F) = 0.6, and P(Fn E) 0.3. Draw a Venn diagram and find the conditional probabilities. P(E | FC (a) P(F | EC) (b)

Event E and event F are independent. Fiven P(E) = 0.3, P = (F) 0.5, compute P(E and F) and P(E or F). a) P(E and F) = b ) P(E or F)