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KVPY2017MathematicsProbability

A pair of 12-sided fair dice with faces numbered 1,2,3, , 12 is rolled. The probability that the sum of the numbers appearing has remainder 2 when divided by 9 is

Options

  1. A7 72
  2. B5 48
  3. C11 144
  4. D1 9

Correct answer

D. 1 9

Step-by-step solution

array l|c x ₁+ x ₂=11 or & x ₁+ x ₂=20 possible cases & (1,10) & (8,12) (2,9) & (9,11) (3,8) & (10,10) (4,7) & (5,6) & array 10 144 + 6 144 = 16 144 = 1 9

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