Probability Question

Question

Each year the Yellow Pencil Company makes millions of #2 pencils. They come in boxes of 12. A recent quality check found that 0.1% of pencils they produce are faulty. It is assumed the production of each pencil is independent. Fill in the Blank: The probability that a person buying a single box will discover no faulty pencils is

Answer 1

Just need to pick 12 good pencils in a row.

Technically it is the draw w/o replacement, but for millions of pencils it does not matter

0.1% fault

100%-0.1%=99.9% good

0.999^12 = 0.988 or 98.8% to get 12 good pencils in a row