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 do party or group applications affect my odds? How many choices can I include and what does that mean? It showed that I had 100% odds of drawing last year. How come I didn’t draw this year? Does it affect my draw odds depending on what choice on my application I put a hunt? What’s the difference between the Special Draw and the Regular Draw?