Question

Which conditional probabilities are correct? Check all

that apply.
P(
DF) = 6
34
P(ED) = 7
25
P(
DE) = 7
22 23
P(FIE) = 8
18
P(
EF) = 13
21

Answer 1

a, b, d ; 1, 2, 4 ;

P(D | F) = 6/34

P(E | D) = 7/25

P(F | E) = 8/18

Explanation:

Answer 2

Correct options:

P(D | F) = 6/34

P(E | D) = 7/25

P(F | E) = 8/18

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