SOLUTION: Use the given values to find: a) P(A given B) b) P(B given A) Question 1: P(A)=0.6, P(B)=0.4, P(A intersect B)=0.2 Question 2: P(A)=0.4, P(B)=0.5, P(A union B)=0.6

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Question 861807: Use the given values to find:
a) P(A given B)
b) P(B given A)
Question 1: P(A)=0.6, P(B)=0.4, P(A intersect B)=0.2
Question 2: P(A)=0.4, P(B)=0.5, P(A union B)=0.6

Answer by ewatrrr(24785)   (Show Source): You can put this solution on YOUR website!

Hi
a) P(A|B) = P(A and B)/P(B) |P(A)=0.6, P(B)=0.4, P(A intersect B)=0.2
substitute
P(A|B) = .2/.4 =
b) P(A and B) = P(A) + P(B) - P(A OR B) |P(A)=0.4, P(B)=0.5, P(A union B)=0.6
substitute
P(A and B) = .4 + .5 - .6 = .3
substitute
P(B|A)= P(A and B)/P(A) = .3/.4 = .75 0R 3/4
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