In wyo. you can buy just the point, one a year.
Don't know the # points needed for non-resident,
But I have 12 points (resident) and haven't drawn yet.
The points don't have as much to do with your odds as
the area and type. Put my 13yr old in for a cow moose
and she drew the 1st time!

If you just want to shoot
any moose (yeah right) a cow tag will get you out here alot quicker.
The odds and points stuff are all on the wyo. game and fish site.