I've had some really good luck on some species and some really bad luck on others.
Utah has treated me pretty darn good. I drew a Henry's buffalo tag in 1981, a Rocky Bighorn tag in 1993 with no points, and a desert bighorn tag in 2004 with max points.
Wyoming treated me very good for elk for many years, but I haven't been able to draw an elk tag there since 1996. On the other hand, I have had 5 Wyoming moose tags through the years, the last being in 2007 when I drew a random tag with 3 points. I've also done pretty well through the years on Wyoming antelope tags.
The funny thing is the year I drew my Rocky tag, it had the worst odds of any Utah tag in that year. In those years you could apply for all species but only draw one. I also applied for an antelope tag in a unit that gave 4 archery tags and had only 7 applicants. That hunt was drawn before my sheep hunt. So I missed on a hunt with better than 50/50 odds and drew my Rocky tag. Had I drawn my antelope tag, I would not have received my first sheep tag, nor would I have been able to maintain max points on my desert sheep as right after that year they limited a person to just one OIL and one LE application.
So all in all I have been pretty luck.
Have a good one. BB