Consider two events such that P(A) = , P(B) = , and P(A ∩ B) =

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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

CPhill · Answer 1 · 2018-04-28T09:01:47

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