SOLUTION: Given that P(A)=0.89 and P(B|A)=0.34, find the joint probability P(A and B):

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Question 1147683: Given that P(A)=0.89 and P(B|A)=0.34, find the joint probability P(A and B):
Answer by ikleyn(52781) About Me  (Show Source):
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P(B | A) is equal to  P(A and B) / P(A), by the definition of conditional probability.


So, you are given  P(A) = 0.89  and  P(A and B) / P(A) = 0.34.


Therefore, to find  P(A and B),  you need simply multiply 0.34 by 0.89 to get the answer.

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Happy calculations (!)

On conditional probabilities, see the lesson
    - Conditional probability problems
in this site.