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  3. An integer from 10 through 99, inclusive, is to be chosen at random. What is the probability that the number chosen will have 0

An integer from 10 through 99, inclusive, is to be chosen at random. What is the probability that the number chosen will have 0

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问题 An integer from 10 through 99, inclusive, is to be chosen at random. What is the probability that the number chosen will have 0 as at least one digit? Give your answer as a simplified fraction.
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答案1/10
解析 The correct answer is 1/10. The first step in solving this problem is to determine how many integers between 10 and 99, inclusive, will have 0 as at least one digit, as follows:
10, 20, 30, 40, 50, 60, 70, 80, 90
There are 9 integers that will have 0 as at least one digit. Next, because there is a total of 90 numbers in the given range, the probability of choosing one of those 9 numbers is 9/90, which simplifies to 1/10.
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