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JEE Main 2017 Mathematics question

MathematicsProbabilityJEE Main 2017

For three events A, B and C, P (Exactly one of A or B occurs) = P(Exactly one of B or C occurs) = P(Exactly one of C or A occurs) = and P(All the three events occur simultaneously) = . Then the probability that at least one of the events occurs, is :

Answer: (A)

Solution

Adding the three conditions: . So \cup\cup$

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Question ID VK-009023