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

Jashore Board 2023

What is the probability of getting at most two H when two fair coins are tossed together?

Think it through first, then pick an option.

  1. a 0
  2. b 1/4
  3. c 3/4
  4. d 1
Answer and explanation

Correct answer: d 1

With two coins the number of H is always 2 or fewer, so all four outcomes are favourable. 4 favourable out of 4; P = 4/4 = 1.

Why the other options are wrong

  • a 0: 0 is the probability of an impossible event; here every outcome is favourable, so the event is certain and the probability is 1.
  • b 1/4: Not 1/4: every outcome is favourable, so favourable and total are equal and the probability is 1.
  • c 3/4: Not 3/4: every outcome is favourable, so favourable and total are equal and the probability is 1.