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For two given events A and B,P(A∪B) is A. not less than P(A)+P(B)-1 B. not greater than P(A)+P(B) C. equal to P(A)+P(B)-P(A∪B) D. equal to P(A)+P(B)+P(A cup B) Select the correct answer from above options

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Correct Answer - A::B::C We know that, P(A∩B)=P(A)+P(B)-P(A∪B) Also, P(A∪B)≤1 ∴P(A∩B)min, where P(A∪B)max=1 ⇒P(A∩B)≥P(A)+P(B)-1 ∴ Option (a) is true. Again, P(A∪B)≥0 ∴P(A∩B)max, when P(A∪B)min=0 ⇒P(A∩B)≤P(A)+P(B) ∴Option (b) is true. Also, P(A∩B)=P(A)+P(B)-P(A∪B), Thus, (c ) is also correct. Hence, (a),(b),(c ) are correct options.

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