Is there a point system in New Mexico? New Mexico does not have a points system of any kind. Permits are drawn randomly. Related articles How many choices can I include and what does that mean? How do party or group applications affect my odds? How can there be nonresident odds for hunts when they didn’t have a nonresident tag draw that year? It showed that I had 100% odds of drawing last year. How come I didn’t draw this year? Can I earn and redeem points in the shop while on a trial?