If P(A)=0.25P(A) = 0.25P(A)=0.25, P(B)=0.4P(B) = 0.4P(B)=0.4, and P(A∪B)=0.55P(A \cup B) = 0.55P(A∪B)=0.55, are events AAA and BBB independent?
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)
Yes, because P(A∣B)=P(A)P(A|B) = P(A)P(A∣B)=P(A)
No, because P(A∪B)≠P(A)+P(B)P(A \cup B) \neq P(A) + P(B)P(A∪B)=P(A)+P(B)