Alright, let's talk about this and what a good strategy should be. I am basing most of this on Ankeny's "Poker Strategy: Winning with Game Theory" which is old but focuses on five card draw.
- If you draw 1, you will improve about 8.5% of the time
- If you draw 2, you will improve about 10.4% of the time
So, drawing 2 gives you a better chance of improving your hand, but look at how infrequently either of those draws give you a better hand. The majority of the time, regardless of which draw you do, you will still have unimproved trips after the draw. So, you should plan on playing the hand without improving. If you improve, that's a bonus.
One of his 7 rules is to "
Never draw two cards." The idea being that you aren't going to "cat hop" (draw two cards to a straight or flush draw) and drawing two is going to define your range. His exact words are, "Against one opponent, unless there are exceptional circumstances, the information you reveal by drawing two cards is usually not justified by the odds."
That said, there are times when you will draw two. These spots are rare, but they happen. It would seem that some of your two card draws should be trips, to provide a hint of doubt when you draw two to A-A-K-x-x after your opponent draws 3.
His book is also based on antes and having to come in with a bet or calling/raising a bet. In those spots, you are never going to play cat hops. But, in a modern game with blinds, you might get limped to in the big blind holding three big suited cards. In that spot, it's free to draw two to your bust hand. And, you might hit a big pair or better. Now, you might draw two in that spot, but you won't be able to disguise this draw with your trips two card draws, because you should always raise trips in this spot.
Anyway, draw 1. It doesn't really reduce your chances of improving, but it does improve your ability to profit after the draw.