SOLUTION: If A & B are events with P(A)=0.4 , P(B)=0.2 , P(AnB)=0.1 , a. what Is Probability Of A given B ? b. what is Probability Of B given A ?

Question 1154182: If A & B are events with
P(A)=0.4 , P(B)=0.2 , P(AnB)=0.1 ,
a. what Is Probability Of A given B ?
b. what is Probability Of B given A ?
Answer by greenestamps(13200) (Show Source): You can put this solution on YOUR website!

When the information is given in this form, use the definition of conditional probability directly.

P(A|B) is the probability that A (also) occurs, given that B occurs. So the numerator of the probability fraction is the probability that both A and B occur, and the denominator is the probability that B occurs.

            P(AnB)
  P(A|B) = --------
             P(B)

For this problem...

a. P(A|B) = 0.1/0.2 = 0.5
b. P(B|A) = 0.1/0.4 = 0.25

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