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Mathematics

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?

Probability

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Answer

There are 85 pages.

∴ No. of possible outcomes = 85.

Page numbers whose sum of digits equal to 8 are {08, 17, 26, 35, 44, 53, 62, 71, 80}.

∴ No. of favourable outcomes = 9

P(getting a page with sum of digits equal to 8) = No. of favourable outcomesNo. of possible outcomes=985\dfrac{\text{No. of favourable outcomes}}{\text{No. of possible outcomes}} = \dfrac{9}{85}.

Hence, the probability of getting a page with sum of digits equal to 8 is 985\dfrac{9}{85}.

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