Out on my side of the state we have a lottery for both deer and elk however you can get just second season elk tag or an archery deer tag with no lottery. On the west side of the state you can just flat out get your deer tag and be done with it no lottery. We have to many enviro nuts that have caused the state to muddy up our hunting regs. My side of the state, east and almost to Idaho, is where most people come out to hunt to get away from the city folk granted it is the city folk that come out here. Last year I found a lost hunter and drove him a good 30 miles back to his camp site (he had dropped over a ridge and got lost).
Anyway basically out here the only things that we can hunt with just the hunting permit is small game critters and varmints and the like. Deer, elk, cougar, bear, turkey, big horns, mountain goats and antelope all require tags out here. Oh and some birds require a stamp.