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If `A_(1), A_(2),..,A_(n)` are any n events, then

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If A1,A2,..,An are any n events, then A. P(A1∪A2∪..∪An)=P(A1)+P(A2)+..+P(An) B. P(A1∪A2∪..∪An)>P(A1)+P(A2)+..+P(An) C. P(A1∪A2∪..∪An)≤P(A1)+PA2+..+P(An) D. none of these Select the correct answer from above options

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Correct Answer - C For any two events A and B, we have P(A∪B)=P(A)+P(B)-P(A∩B) ⇒P(A∩B)≤P(A)+P(B) Using principle of matematical induction it can be easily proved that P( n ∪ i=1 Ai)≤ n ∑ i=1 P(Ai)

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