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.

  • 1
    $\begingroup$ 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 $\endgroup$ – WaveX Oct 4 '18 at 0:24
  • $\begingroup$ why you want to use binomial distribution? $\endgroup$ – pointguard0 Oct 4 '18 at 8:17
  • $\begingroup$ Why don't you try it both ways and compare the answers? $\endgroup$ – awkward Oct 4 '18 at 12:50

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