Let PC 05 Let PD 06 Let PCD 07 Question Please explain in

Let P(C) = 0.5

Let P(D) = 0.6

Let P(C|D) = 0.7

Question. Please explain in detail. I can not figure this out for the life of me! Thank you!

Find P(D|C).

P(C|D) = P(C n D)/P(D)

Thus,

P(C n D) = P(C|D) P(D) = 0.7*0.6 = 0.42

Therefore,

P(D|C) = P(C n D)/P(C) = 0.42/0.5 = 0.84 [ANSWER]