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Question

Find the probability that a randomly chosen three-digit number has exactly three factors.

A
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B
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C
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D
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Solution

The correct option is D
A number has exactly 3 factors if the number is squares of a prime number. Squares of 11, 13, 17, 19, 23, 29, 31 are three-digit numbers. Therefore,
Required probability = 7900

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