MCQ practice · SSC Higher Mathematics Board questions · Chapter 14: Probability
The letters of the word HIGHER MATHEMATICS are put separately in a box and one letter is drawn at random. What is the probability that the letter is not A or H?
Think it through first, then pick an option.
- a 2/17
- b 3/17
- c 5/17
- d 12/17
Answer and explanation
Correct answer: d 12/17
There are 17 letters; A appears twice and H three times, so 17 − 5 = 12 are neither. 12 favourable out of 17; P = 12/17.
Why the other options are wrong
- a 2/17: Not 2/17: there are 12 favourable outcomes out of 17, so the probability is 12/17.
- b 3/17: Not 3/17: there are 12 favourable outcomes out of 17, so the probability is 12/17.
- c 5/17: 5/17 is the probability that the event does not happen (1 − 12/17); the question asks for the event happening, which is 12/17.
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