Question

A book has pages numbered from 1 to 85. What is the probability that the sum of the digits on the page is 8 if a page is chosen at random?

• A. 6/85
• B. 7/85
• C. 9/85
• D. 8/85

Answer 1

The correct option is C

9/85

Given,

Total number of pages in the book = 85

The required page numbers are = 08, 17, 26, 35, 44, 53, 62, 71, 80.

That makes 9 favourable outcomes out of 85.

$\text{Thus, the required probability}=\frac{\text{number of favourable outcomes}}{\text{total number of outcomes}}$

= $\frac{9}{85}$