NECO 2022 · Paper 1 · Q54

Two fair dice are thrown together. Calculate the probability that the sum obtained is less than 8.

Worked solution (try it first)
  1. There are 6×6=366 \times 6 = 36 equally likely outcomes.
  2. Count the sums from 2 to 7: 1+2+3+4+5+6=211 + 2 + 3 + 4 + 5 + 6 = 21 outcomes.
  3. So the probability is 2136=712\frac{21}{36} = \frac{7}{12}, option E.

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