Three of a Kind in Draw
I was doing some basic probability tables for draw poker, and I noticed that when you are dealt three-of-a-kind before the draw, and draw two cards, your chances of getting four-of-a-kind are double that (4.26%) if you were drawing with three-of-a-kind and a kicker (2.13%). In addition, your chances of getting either a full house or quads are 10.36% when drawing two, while only 8.51% if drawing one. Given that the kicker is irrelevant in this situation (it wouldn't come into play because only one player can have three-of-a-kind for a given rank), would there ever be a reason to draw one card instead of two here?
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