depends on the time of year. mid-winter when it's really cold it'll stay on the roads for a while until the sun eventually bakes it off (unless it snows again). during the spring time the snow will stick very easily to the roads when it snows heavy, but as soon as the some comes out it usually melts fast. The plow drivers in summit for the most part are awesome, even when I lived in the outskirts of Frisco it was always plowed by at least 6am, but more traffic'd areas will have it done much sooner (and will keep it that way if it's still snowing). Snow tires should be all you need, although if you get stuck on an uphill you may or may not have a bit of troubles. But in that case, just back down the hill, get some speed and try again.
I wouldn't worry about it too much, if you're not as confident go slower until you build that confidence up. Just be wary that a lot of CO drivers drive fast as hell when the roads are snow-packed.
