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Find the probability that a randomly cho...

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

A

`2//225`

B

`7//900`

C

`1//800`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
B
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 3-digit numbers. Hence, the required probability is `7//900`.
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