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The numbers between 1 and 520, including both, are divisible by 2 or 6 is _______

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The numbers between 1 and 520, including both, are divisible by 2 or 6 is _______

(a) 349

(b) 54

(c) 213

(d) 303

I had been asked this question in exam.

This key question is from Discrete Probability topic in chapter Discrete Probability of Discrete Mathematics

1 Answer

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Right option is (d) 303

The best I can explain: We add the number of numbers that are divisible by 2 and 6 and subtract the numbers which are divisible by 12. Hence, the required probability is

\(\frac{520}{2} + \frac{520}{6} – \frac{520}{12}\) = 303.3 = 303(Approximately).

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