Question

A book contains 85 pages. A page is chosen at random. What is the probability that the sum of the digits on the page is 8?

Answer 1

Number of pages in the book = 85 

Number of possible outcomes = n(S) = 85 

Out of 85 pages, pages that sum up to 8 = {8, 17, 26, 35, 44, 53, 62, 71, 80} 

Pages that sum up to 8 = n(E) = 9 

Probability of choosing a page with the sum of digits on the page equals 8

= `(n(E))/(n(S))`

= `9/85`