RE: Odds of drawing non-res. big game combo tag in MT
last year myself and a buddy applied for our first time for a combo license, both of us drew successfully. i know 2 other guys that applied for a deer license only for their first time, both drew successfully also.
i've heard they are hard to get so i'm figuring they ain't that hard or everyone i knew got extremely lucky. regardless i believe your chances are pretty good.
if you don't draw and still want to go hunting you can always put in for a bear tag in june or august.