I can totally understand that, it's definitely a preferential thing. I do like some randomness, but overall I prefer having a lot of different choices, and the challenge of trying to work out the optimal one. I think I prefer that feeling of "analysis paralysis" to having your work completely undone by an unlucky dice roll or card draw. Plus, the feeling of satisfaction of forming a creative strategy or tactic is awesome.

I've recently gotten into boardgames, and the ones I enjoy the most follow this line of thought (in particular Caylus and Terra Mystica).