SOLUTION: given the following * let P(C)= .4 * let P(D)= .5 * let P ( C given D)= .6 what is P( D Given D)?

Question 1110085: given the following

* let P(C)= .4
* let P(D)= .5
* let P ( C given D)= .6
what is P( D Given D)?
Answer by greenestamps(13203) (Show Source): You can put this solution on YOUR website!

Surely the question you ask is not the one you meant to ask; P(D given D) is 1.

The logical probability to ask for is P(D given C); I will assume that is what you wanted.

P(C|D) = (P(C and D)) / (P(D))
0.6 = P(C and D) / 0.5
P(C and D) = 0.3

Then

P(D|C) = (P(C and D)) / (P(C))
P(D|C) = 0.3 / 0.4
P(D|C) = 0.75

ANSWER: P(D given C) = 0.75
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