Rounding Error

A number is uniformly chosen from [ 0.15 , 0.25 ] [0.15, 0.25] . It was rounded to two decimal places and then to one decimal place. The probability that the final value is 0.2 0.2 is X % X \% . What is X ? X?

Assumption:用舍入"half away from zero". That is, if the number is equally far from the two closest numbers, choose the one away from zero. For example, 2.5 is equally far from 2 and 3, so round 2.5 to 3.

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