From a book containing 100 pages, one page is selected randomly. probability that sum of digits of p

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14.Probability

easy

From a book containing $100$ pages, one page is selected randomly. The probability that the sum of the digits of the page number of the selected page is $11$, is

A

$\frac{2}{{25}}$

B

$\frac{9}{{100}}$

C

$\frac{{11}}{{100}}$

D

None of these

Solution

(a) Favourable ways $\{ 29,\,92,\,38,\,83,\,47,\,74,\,56,\,65\} $

Hence required probability $ = \frac{8}{{100}} = \frac{2}{{25}}.$

Standard 11

Mathematics

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