For events and with probabilities ,

MATHEMATICS · Single correct · CBSE · Mathematics · Probability · Probability

Problem

For events AA and BB with probabilities P(A)=pP(A)=p, P(B)=qP(B)=q, where 0<p,q<10<p,q<1, suppose P(A∪B)=p+q−2pq.P(A\cup B)=p+q-2pq. Which of the following describes their independence? (a) They are independent only when p=qp=q. (b) They are never independent for 0<p,q<10<p,q<1. (c) They are independent for all pp and qq. (d) They are independent only when p=0p=0 or q=0q=0.

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