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JEE Advanced Mathematics question

MathematicsProbabilityJEE Advanced

Two distinct numbers are selected at random from the first twelve natural numbers. The probability that the sum will be divisible by 3 is

Answer: (A)

Solution

. Among there are 4 numbers in each residue class mod 3 (0, 1 and 2). The sum is divisible by 3 if

- both numbers a

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Question ID VK-109750