I know everyone wants to know their odds, but with NM's four variables - the random draw order, 3 drawable choices per application before the next application is considered, anywhere from 1-4 people on an application and the 6% nonresident allocation cap, actual odds just can't be predicted. We do publish odds, but with a footnote disclaimer that odds are best used to compare units.
Here's an example. Let's say 6% of the tags for a hunt comes out to 6 nonresident tags. Let's say you are the only nonresident in the entire draw that listed that hunt as their 1st choice. You could still strike out if before your application came up, two nonresident applications with 3 people each had their 1st choice full but had that hunt as their 2nd choice. So, 6 nonresident tags available for that hunt, one 1st choice application, 1st choice success = 0%.
That's why total choices for a hunt should be considered in calculating odds rather than just 1st choices. First choices only would be appropriate if only the first choice was considered before the next application but in NM it will overstate the odds.