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Consider two events such that P(A) = 1/4 , P(B) = 2/3 , and P(A ∩ B) = 1/5 . Are events A and B independent events?

 

Yes, they are independent because P(A) ⋅ P(B) = P(A ∩ B)

No, they are dependent because P(A) ⋅ P(B) = P(A ∩ B)

Yes, they are independent because P(A) ⋅ P(B) ≠ P(A ∩ B)

No, they are dependent because P(A) ⋅ P(B) ≠ P(A ∩ B)

hayleeirene  Apr 26, 2018
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For the events to be independent

 

P(A) * P(B)  =   P ( A and B)

 

( 1/4) * (2/3)  =  2 / 12  =  1/6

 

But  P ( A and B )  =   1/5

 

So....they are dependent events  and  "D"  is correct

 

cool cool cool

CPhill  Apr 28, 2018

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