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 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(B) and P(B|A)=P(A) .
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(A) and P(B|A)=P(B) .
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A and B are not independent events because P(A|B)≠P(A) .
P(B| A) = P(A and B) / P(A)
P( B |A ) = 0.24/ 0.3 = 5/6 = 0.8
P(A | B) = 0.24/ 0.9 =0.266666667
so P(A|B) does not equal P(A) and P(B|A) does not equal P(B)
so there are not independent. A depends on B and B depends on A