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NECO 2024 · Paper 1 · Q54

Tickets numbered 1 to 16 inclusive are mixed up and a ticket is drawn at random. What is the probability that the number is a multiple of 2 or 3?

Worked solution (try it first)
  1. From 1 to 16 there are 8 multiples of 2 and 5 multiples of 3 (3, 6, 9, 12, 15).
  2. 6 and 12 are in both lists, so take them off once: 8+5−2=118 + 5 - 2 = 11.
  3. So the probability is 1116\frac{11}{16}, option D.

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