MCQ practice · SSC Higher Mathematics Board questions · Chapter 14: Probability
What is the probability of getting a composite number on throwing a dice?
Think it through first, then pick an option.
- a 1
- b 1/2
- c 1/3
- d 1/6
Answer and explanation
Correct answer: c 1/3
The composite numbers on a dice are 4 and 6; 1 is neither prime nor composite. 2 favourable out of 6; P = 2/6 = 1/3.
Why the other options are wrong
- a 1: 1 would make the event certain, but only 2 of the 6 outcomes are favourable, so the probability is 1/3.
- b 1/2: 1/2 comes from dividing by the remaining outcomes (4); the denominator must be all 6 outcomes, so 1/3.
- d 1/6: 1/6 is the probability of one particular outcome; here 2 outcomes are favourable, so 1/3.
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