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MCQ practice · SSC Higher Mathematics Board questions · Chapter 14: Probability

Dinajpur Board 2024

The tickets are mixed well and one ticket is taken at random. What is the probability that its serial number is a divisor of 40?

Think it through first, then pick an option.

  1. a 1/5
  2. b 3/20
  3. c 1/10
  4. d 1/20
Answer and explanation

Correct answer: a 1/5

The divisors of 40 are 1, 2, 4, 5, 8, 10, 20, 40, which is 8. 8 favourable out of 40; P = 8/40 = 1/5.

Why the other options are wrong

  • b 3/20: Not 3/20: there are 8 favourable outcomes out of 40, so the probability is 8/40 = 1/5.
  • c 1/10: Not 1/10: there are 8 favourable outcomes out of 40, so the probability is 8/40 = 1/5.
  • d 1/20: Not 1/20: there are 8 favourable outcomes out of 40, so the probability is 8/40 = 1/5.