Events and can be either independent or mutually exclusive.

MATHEMATICS · Multi-part · CBSE · Mathematics · Probability · Probability

Problem

Events AA and BB can be either independent or mutually exclusive. (i) Explain the essential difference between independence and mutual exclusivity of two events. (ii) Suppose P(A)=0.45P(A)=0.45 and P(B)=0.35P(B)=0.35. For each of the following statements, determine whether it is possible and justify your answer. (a) P(A∪B)=0.80P(A\cup B)=0.80 (b) P(A∪B)=0.45P(A\cup B)=0.45

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