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UI Post-UTME Mathematics 2018 (Model questions) Question 48

Question 48

Probability

There are twelve cards numbered 1 to 12. A card is selected at random, what is the probability that it is either even or a perfect square

  1. A.1/8
  2. B.3/4
  3. C.1/4
  4. D.2/3
Show the answer and explanation

Answer: D (2/3)

Explanation

Even: 2, 4, 6, 8, 10, 12; perfect squares: 1, 4, 9. Together (4 counted once) that is 8 cards, so 8/12 = 2/3.