Which of the following equalities must be satisfied if events and are independent?

MATHEMATICS · Single correct · AP · AP Statistics · Probability Random Variables Distributions · Probability Random Variables Distributions

Problem

Which of the following equalities must be satisfied if events AA and BB are independent? (a) P(A∪B)=P(A)P(B)P(A\cup B)=P(A)P(B) (b) P(A∩B)=P(A)P(B)P(A\cap B)=P(A)P(B) (c) P(A∩B)=P(A)+P(B)−P(A)P(B)P(A\cap B)=P(A)+P(B)-P(A)P(B) (d) P(A∣B)=P(A)P(B)P(A\mid B)=P(A)P(B)

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