Inside the computer of the Wyoming draw process, the points draw is actually conducted first, then the random draw is conducted for those who did not draw the tag in the preference point draw. That's why when an area's points requirement drops down to zero points, the preference point applicants and the remaining random applicants need to be combined to give the true odds of drawing the tag with zero points for that hunt. This will give a much higher actual draw odd for that hunt at zero points than the state statistics actually report.
This happens more often than you might think. Particularly with antelope and cow (antlerless) elk hunts.
The only applicants that actually have "two" chances at drawing a tag are the ones that happen to be in the exact preference points pool where the pool is split into a percentage where an actual draw actually takes place. So if an area takes 5 points to draw and there are ten applicants with 5 points in that draw, then five will draw the tag randomly and the five "losers" will move on to the random draw with the remaining lower points applicants for a "second" chance at the tag.
I hope this helps to clear things up a bit.
G-
