Do I Need Preference Points

Yes & No.

With the latest Special license increase it has made it easier to draw some areas, and some areas now don't require any points with the "Special" license. Those same areas take 5-6 points with the "Regular" license.

If I have Zero or not enough points what are my chances?

Good news is that Wyoming does a Random draw if you don't have enough points. I have hunters that draw every couple years on the random draw because the odds are so good. Most hunters don't actually apply each year they buy points till they have enough. I have a few areas that have a 40% chance on random that usually take 5-6 points to draw. If you are putting in every year or often, you will draw before you have enough points. When you apply in Wyoming the system will see if you have enough points required to draw, if you don't then it will automatically move you to the random draw without doing anything additional. There is a Random "Regular" draw and a Randoms "Special" draw The last 3 years over 50% of the hunters I have applying that either don't have enough points or wanted to apply random have drawn.

Landowner Tags that anyone can purchase

No such thing in Wyoming, but there are some areas that are very easy to draw that are 98% private lands. With that being said, those units are some of the worst quality areas for average or trophy antelope but if you are looking for a meat hunt option it is a good way to go if you don’t mind paying a trespass fee.