Answer
$\frac{13}{2500}$
Work Step by Step
There are $10,000$ items produced in total, out of which $52$ are defective.
We know that the formula for the probability is $P=\frac{n}{s}$, which we can use in this question.
$n$ in this case would be $52$, and $s$ would be $10,000$.
$P=\frac{n}{s}$
$P=\frac{52}{10000}$
$P=\frac{13}{2500}$
There is a $\frac{13}{2500}$ probability that the item picked will be defective.