Two events AAA and BBB satisfy P(A)=0.5,P(B)=0.6,P(A∩B)=0.3P(A)=0.5, P(B)=0.6, P(A \cap B)=0.3P(A)=0.5,P(B)=0.6,P(A∩B)=0.3. Are AAA and BBB independent?
Yes, because P(A∩B)=P(A)+P(B)−1P(A \cap B) = P(A) + P(B) - 1P(A∩B)=P(A)+P(B)−1
Yes, because P(A∩B)=P(A)P(B)P(A \cap B) = P(A)P(B)P(A∩B)=P(A)P(B)
No, because P(A∩B)≠P(A)P(B)P(A \cap B) \neq P(A)P(B)P(A∩B)=P(A)P(B)
No, because P(A∣B)≠P(A)P(A|B) \neq P(A)P(A∣B)=P(A)