# Choosing binomial distribution instead of hypergeometric without replacement

The problem is: A batch of $$10$$ rocket cover gaskets contains 4 defective gaskets. If we draw samples of size $$3$$ without replacement, from the batch of $$10$$, find the probability that a sample contains $$2$$ defective gaskets.

Since this problem doesn't have replacement, I know to use hypergeometric distribution because the probability isn't the same each trial. However, I was wondering if it was possible to use binomial distribution for this problem, and problems without replacement period.

• But binomial distribution assumes probability of a success (picking a defective) is constant on each of the 3 draws. Thus we wouldn't have the same situation anymore – WaveX Oct 4 '18 at 0:24
• why you want to use binomial distribution? – pointguard0 Oct 4 '18 at 8:17
• Why don't you try it both ways and compare the answers? – awkward Oct 4 '18 at 12:50