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? - Noon Academy

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?

CBSE | Class 10 | Exercise 25B | Maths | Probability | Selina

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:

We know that,

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}

So, pages that sum up to 8 = n(E) = 9

Hence, probability of choosing a page with the sum of digits on the page equals 8 = n(E)/ n(S) = 9/85

i

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