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A and B are two events.

Let P(A)=0.3 , P(B)=0.9 , and P(A and B)=0.24 .

Which statement is true?

A and B are not independent events because P(A|B)≠P(A) .
A and B are not independent events because P(A|B)=P(B) and P(B|A)=P(A) .
A and B are independent events because P(A|B)=P(B) and P(B|A)=P(A) .
A and B are not independent events because P(A|B)=P(A) and P(B|A)=P(B) .

adore.nuk Feb 7, 2018

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1⁺⁰ Answers

+129852

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P ( A I B ) = P ( A ) ???

P( A I B ) = P (A and B ) / P (B) = .24 / .90 = 4/15 ≈ .267

And P(A) = .3

So....not independent because P(A|B) ≠ P(A) [ the first answer ]

CPhill Feb 7, 2018

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