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

Algebra ->  Probability-and-statistics -> 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      Log On


   

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) About Me  (Show Source):
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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 = highlight%281%2F2%29   

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