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#Probability #StochasticProcesses >[!def] Conditional probability >Let AAA and BBB be two events. If P(B)>0P(B)>0P(B)>0 P(A∣B)=P(A∩B)P(B)P(A|B)=\frac{P(A\cap B)}{P(B)}P(A∣B)=P(B)P(A∩B)
Let AAA and BBB be two events. If P(B)>0P(B)>0P(B)>0, then AAA and BBB are independent if and only if P(A∣B)=P(A)P(A|B)=P(A)P(A∣B)=P(A)