P (E and F) = 0.126
P (E/F) = 0.36
P (F/E) = 0.4
Find:
P(E)
P(F)
P (E or F)
Please help!
P (E/F) = 0.36
P (F/E) = 0.4
Find:
P(E)
P(F)
P (E or F)
Please help!
-
From Bayes' Theorem
P(E) = P(E & F) / P(F|E)
= 0.126 / 0.4
= 0.315
P(F) = P(E & F) / P(E|F)
= 0.126 / 0.36
= 0.35
Also
P(E or F) = P(E) + P(F) - P(E & F)
= 0.315 + 0.35 - 0.126................................(fr… above)
= 0.539
P(E) = P(E & F) / P(F|E)
= 0.126 / 0.4
= 0.315
P(F) = P(E & F) / P(E|F)
= 0.126 / 0.36
= 0.35
Also
P(E or F) = P(E) + P(F) - P(E & F)
= 0.315 + 0.35 - 0.126................................(fr… above)
= 0.539