First slide

Introduction to probability

Question

The probability that a random chosen three-digit number has exactly 3 factors is

Moderate

A

$\frac{2}{225}$
B

$\frac{7}{900}$
C

$\frac{1}{800}$
D

none of these

Solution

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 $\frac{7}{900}$

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