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  3. An integer from 10 through 99, inclusive, is to be chosen at random. What is the

An integer from 10 through 99, inclusive, is to be chosen at random. What is the

游客2024-01-12  59
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.
选项
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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