Question

Which conditional probabilities are correct? Check all

Answer 1

Answer:

Correct options:

P(D | F) =  6/34

P(E | D) = 7/25

P(F | E) = 8/18

Step-by-step explanation:

In the figure attached, the missing Venn diagram is shown.

P(D | F) = P(D ∩ F)/P(F) = (5+1)/(5+1+7+21) =  6/34

P(E | D) = P(E ∩ D)/P(D) = (6+1)/(6+1+5+13) = 7/25

P(D | E) = P(E ∩ D)/P(E) = (6+1)/(6+1+7+4) = 7/18

P(F | E) = P(E ∩ F)/P(E) = (7+1)/(6+1+7+4) = 8/18

P(E | F) = P(E ∩ F)/P(F) = (7+1)/(5+1+7+21) =8/34