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A sum of money is rounded off to the nearest rupee, find the probability that the round off error is at least ten paise.

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A sum of money is rounded off to the nearest rupee, find the probability that the round off error is at least ten paise. A. `(81)/(100)` B. `(82)/(101)` C. `(19)/(100)` D. `(19)/(101)` Select the correct answer from above options

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Correct Answer - A Let the sum of money be x Rs and y paise. Then, y can take the following values : 01, 02,..,99 Therefore, round off error in least ten paise if it is `00, +- 01, +- 02,.., +-49,50` The round off error will be at least ten paise if it is `+-10, +-11, +-12,..,+-49,50` Hence, required probability `=(81)/(100)`

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