If P(A) 0 and P(B) 0 and events A and B are independent,then ____________.
A)P(A)= P(B)
B)P(A|B)= P(A)
C) $\mathrm { P } ( \mathrm { A } \cap \mathrm { B } ) = 0$
D) $\mathrm { P } ( \mathrm { A } \cap \mathrm { B } ) = \mathrm { P } ( \mathrm { A } ) \mathrm { P } ( \mathrm { B } \cup \mathrm { A } )$

Question

If P(A)> 0 and P(B)> 0 and events A and B are independent,then ____________.
A)P(A)= P(B)
B)P(A|B)= P(A)
C) $\mathrm { P } ( \mathrm { A } \cap \mathrm { B } ) = 0$
D) $\mathrm { P } ( \mathrm { A } \cap \mathrm { B } ) = \mathrm { P } ( \mathrm { A } ) \mathrm { P } ( \mathrm { B } \cup \mathrm { A } )$

Quizplus · Accepted Answer

If events A and B are independent, then the occurrence of one event does not affect the probability of the other event. Therefore, P(A|B) = P(A).

If P(A)> 0 and P(B)> 0 and Events a and B