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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?
Solution
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`
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