A number is chosen from first 100 natural numbers. probability that number is even or divisible by 5

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14.Probability

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A number is chosen from first $100$ natural numbers. The probability that the number is even or divisible by $5$, is

A

$\frac{3}{4}$

B

$\frac{2}{3}$

C

$\frac{4}{5}$

D

$\frac{3}{5}$

Solution

(d) $2,\,4,\,6,\,8,\,10\,…….$ i.e., fifty even and ten divisible by $5$ like $5,\,15,\,25\,\,…….$

as $(10,\,20,\,30\,\,…….)$ have been considered.

Hence required probability $ = \frac{{50 + 10}}{{100}} = \frac{3}{5}.$

Standard 11

Mathematics

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