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Mathematics

A book contains 92 pages. A page is chosen at random. What is the probability that the sum of the digits in the page number is 9 ?

Probability

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Answer

Total number of possible outcomes = 92

Number of favourable outcomes (Getting a page where the sum of the digits in the page number is 9) = 10 (9, 18, 27, 36, 45, 54, 63, 72, 81, 90)

P(Getting a page where the sum of the digits in the page number is 9) = Number of favourable outcomesTotal number of outcomes\dfrac{\text{Number of favourable outcomes}}{\text{Total number of outcomes}}

= 1092\dfrac{10}{92}

= 546\dfrac{5}{46}

Hence, the probability of getting a page where the sum of the digits in the page number is 9 is 546\dfrac{5}{46}.

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