1.

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)`

Answer» 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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