SOLUTION: If A and B are dependent and P(A|B)=0.15 then P(B|A)= P(A∩B)= I hope you can help me

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Question 1123605: If A and B are dependent and P(A|B)=0.15 then
P(B|A)=

P(A∩B)=

I hope you can help me
Answer by Edwin McCravy(20060)   (Show Source): You can put this solution on YOUR website!
If A and B are DEPENDENT, then there is not enough information,
as you would need either P(A) or P(B).

However if you mistyped, and "DEPENDENT" should have been
"INDEPENDENT", then P(A|B) = P(A) = 0.15

Then since P(B|A) = P(B∩A)/P(A) = P(A∩B)/P(A) = 0.15/0.15 = 1

Then

P(A∩B)/P(A) = 1, then multiplying both sides by P(A)

P(A∩B) = P(A) 

P(A∩B) = 0.15

But that's ONLY if you mistyped "DEPENDENT" for "INDEPENDENT".
Otherwise there is not enough information.  

If you wish to discuss the problem, you may message me in the
form below and I will get back to you by email.

Edwin
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