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JEE Main 2016 Mathematics question

MathematicsProbabilityJEE Main 2016

Let two fair six-faced dice A and B be thrown simultaneously. If is the event that die A shows up four, is the event that die B shows up two and is the event that the sum of numbers on both dice is odd, then which of the following statements is NOT true ?

Answer: (D)

Solution

P(E₁) = P(E₂) = 1/6, P(E₃) = 1/2 and each pair is independent. But

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Question ID VK-008934