does it make sense to ask the expected value for discrete values ​in non-enumerable sets?

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I want to know, is this question well formulated? If so, what is the answer?

"Let randomly choose n numbers in a range [0,1], what is the expected value of the smallest number? if distribution function is uniform."

What is confusing me is "the probability of this event can be given by a distribution function"? Please help me