I am a little dated on nevada and haven't hunted there in several years, but here goes.
Nevada has game management areas, with a real mixed bag in how good the areas are. The state fish and game assigns quotas to each area. Problem is some of the areas are very remote with little or no access, others are just poor prospects. An example of each are in the southern part of the state. The area near the California border ( area 263 and 264 ) has just a few really fair areas to hunt, they are remote, and real knowledge of the area is neccesary for much chance at seeing a deer. The other is what is called the Arizona strip ( area 272 ), which is a very rugged, remote area toward the Utah border. Both of these areas aren't to hard to draw a tag, they only issue a few but your odds are pretty good cause most hunters won't apply for them. Yes it is a draw system. Below is the 2003 draw odds:
http://ndow.org/hunt/stats/pdf/deer2003.pdf
There is also a little science to knowing how to apply. If your 1st choice is an area that has 2:1 or better odds you will probably get a tag. A lot of hunters will use their 1st choice on the high odds areas, not a good way to guarantee a tag. Then there is a second draw, for tags that are left over, this is the science part if one of these areas was your first choice you are almost sure to get a tag. After that is done there are still left over tags, this years:
http://ndow.org/hunt/applications/pdf/Manual_Draw_Remaining_Tags04.pdf
If you a smart about this your almost certain you will get a deer tag. Now Elk, Sheep, Antelope, and Mt Goat are a whole different story. Mt goat had last year 148:1 odds of drawing a tag, elk is depending on area between 20;1 and 200:1, sheep is about the same as elk, and antelope is as low as 3:1 and as high as 135:1. Most of these you are ineligable for the draw for 5 years after drawing a tag, but goats for sure is a once in a lifetime hunt.
Honestly the above hockus pokus is why I moved to Idaho, I am just about guaranteed a Elk, deer, bear tag every year. Montana is even better.