List two reasons it is better to sample without replacement

List two reasons it is better to sample without replacement when testing batches of products. When sampling without replacement, should you use the multiplication rule for indepenent or dependent events? Explain the answer.

Solution

2 reasons

1. include the lower chance of getting only good items when some defects are present

2. With replacement might allow you to test the same item more than once which would be inefficient.

You should use the multiplication rule for dependent since the sample space has diminished and the probability of choosing a second good item has gotten smaller.