For any two events A and B in a sample space

MATHEMATICS · Single correct · A Level · Mathematics · Probability · Probability

Problem

For any two events A and B in a sample space, which of the following statements must always hold true? (a) P(A∩B)=P(A) P(B)P(A\cap B)=P(A)\,P(B) (b) P(A′)=1+P(A)P(A')=1+P(A) (c) P(A∪B)=P(A)+P(B)−P(A∩B)P(A\cup B)=P(A)+P(B)-P(A\cap B) (d) P(A∪B)=P(A)+P(B)P(A\cup B)=P(A)+P(B)

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