For two events A and B, if P(A)=P(AB)=14 and P(BA)=12, then
A
A and B are mutually exclusive
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B
A and B are independent
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C
A and subevent to B
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D
P(A′B)=34
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Solution
The correct options are BA and B are independent CP(A′B)=34 P(A)=P(AB)=P(A∩B)P(B)⇒P(A∩B)=P(A)P(B) Thus, A and B are independent. Also, P(A′B)=P(A′∩B)P(B)=P(B)−P(A∩B)P(B)=34