As bobbuck indicates, it does mainly depend on unit and weapon. Rifle and muzzleloader may take a few years or longer, whereas archery will likely be a shorter time for drawing. Also, I believe the eastern part of Kansas seems to have more entries. I archery hunt only in a unit that is located more towards the western part of Kansas, and I get drawn every year. A coworker at my office put in for archery last year in an eastern unit and didn't get drawn.
They did make it where you have to now by your license before applying for the quota. So if you don't get drawn you're out about $100.