Other than a Montana moose tag (with max points), I have never drawn a single tag on points. I've only drawn 5 "good" tags in about 22 years of playing this game. My other 4 good tags (NM barbary sheep, WY moose, ID deer and AK elk) were all random. I have been putting in for 50 or so tags yearly for several years, building points in some states, and just playing the random odds in others. I have yet to draw a Rocky Mountain bull tag, anywhere, in any state. I've drawn some decent odds tags for other critters like caribou and antelope, but that's a moot point.
That's OK though. I'll take my general and unlimited tags, without complaint.