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JEE Advanced Mathematics question

MathematicsProbabilityJEE Advanced

Let denote the complement of an event. Let be pairwise independent events with and . Then equals

Answer: (C)

Solution

, so

G)=P(G)-PMissing or unrecognized delimiter for \big\big((E F) GMissing or unrecognized delimiter for \big\big)=P(G)-P(E G)-P(F G)+P(E F G).

Using and pairwise independence , :

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Question ID VK-110204