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NECO 2022 · Paper 1 · Q55

Two fair dice are thrown together. Find the probability that the sum obtained is a multiple of 6.

Worked solution (try it first)
  1. The sums that are multiples of 6 are 6 and 12.
  2. A sum of 6 comes 5 ways (1+5, 2+4, 3+3, 4+2, 5+1) and a sum of 12 comes 1 way (6+6): 6 outcomes out of 36.
  3. So the probability is 636=16\frac{6}{36} = \frac{1}{6}, option A.

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