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If events A and B are independent, then which of the following is false?

 

A. P(A|B) = P(A)

B. P(B|A) = P(B)

C. P(B∣A) = P(A and B)/P(B)

D. P(A) * P(B) = P(A and B)

 Apr 11, 2019
 #1
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C. P(B∣A) = P(A and B)/P(B)     is false

 

To see why...let P(A) = 0.2    and let P(B) = 0.4

 

Then 

 

P(A and B) / P(B)  =  (0.2)(.0.4) / (0.4)  =  0.2

 

But P(B IA) should be 0.4 if these are independent because A has no effect on B 

 

 

cool cool  cool

 Apr 11, 2019
edited by CPhill  Apr 11, 2019

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