This is possibly a very simple question. Suppose you have a container of colored balls. 3 blue, 4 purple, 2 yellow, and 1 red. We reach in and pick one out. It's purple. So we reach in and take all the purple balls out, before reaching in and selecting another ball.
Is this still called "Probability without Replacement"? Or is there a different terminology for it?
Is this an example of Truncation Selection? https://en.wikipedia.org/wiki/Truncation_selection