A#$2$ pencil production process determined it had $1$ defect within its pencil sample of $10,000$ pencils. Each pencil has the potential of having $3$ defects: faulty eraser, paint blemish, and$/$or faulty lead. What is the DPMO of this production process?

$33\mathrm{.}3$

$333,333\mathrm{.}3$

$100$

$3\mathrm{.}4$