First off, they do special youth tags for deer. Everything else they go in the same pool as everyone else.
Are you willing to travel? I don't know the units around Reno very well, but there are a couple units around Elko that should be pretty easy for a youth to draw, and a good chance of getting a deer. Area 6 (061, 062, 064...) and area 10 (101, 102, 103...) both should be easy to get a tag for. 6 is a little easier access and shouldn't be too hard to find a buck in. There are still plenty of deer in 10, but it is steeper country and will require a little more work to get away from the crowds. The youth tags also allow you to hunt all the seasons that unit is open with that season's weapon, and take either sex.
Nevada is a bonus point system where you are never guaranteed a tag. Your points get squared, plus the application for that year, i.e. 3 points= 3 squared +1, so 10 chances in the draw. Also, once your number gets drawn, they look through all of your choices, 1-5, and give you the first available tag, so it doesn't hurt your odds of getting a tag to swing for the fences on your first few choices, then put backup tags for the last two.
There are a few other nuances to the draw. If you want to talk more, send me a PM with your number and I can give you a call.