Utah gone crazy.

Thought some might find this interesting. (2) I asked Grok how long it will take for me to reach 25% draw odds in bison. (1)Then I asked for the cumulative chance that I might draw within those 45 years.

Unless a lot of people drop out this year, I'm not sure I'll be staying in.

1. By the end of year 45, the cumulative probability that you have drawn a tag at least once is only about 5.17%.

2.**It will take 45 years (when you have 51 points) before your chance exceeds 25% in a given year, assuming 14 nonresident bison permits continue to be issued annually and the ~8% annual attrition rate (92% retention) inferred from the low-points end of the current nonresident distribution holds steady.**

Here’s why, using the provided nonresident points distribution (total ~13,242 applicants) and Utah’s hybrid bonus-point draw rules for bison (once-in-a-lifetime species):

- **50% of permits (7 tags)** go preferentially to the highest-points applicants (ties broken randomly).
- **The other 50% (7 tags)** are awarded via a weighted random draw across all applicants (each bonus point effectively adds an entry/chance).

Your chance is driven almost entirely by the preferential portion once your points get high (the weighted random portion adds only a tiny boost until you’re near the very top). With only 14 tags, a >25% chance requires being among a small group of top competitors (roughly when the number of applicants with ≥ your points, *s*, drops below ~28, since 7/*s* > 0.25).

The current distribution shows ~7,831 nonresidents with ≥6 points (your current group + all ahead of you). Each year:
- Everyone who applies and doesn’t draw gains +1 point.
- ~8% attrition (retention *r* = 0.92, fitted to the near-geometric drop-off in low-point counts where draw pressure is negligible) removes people who stop applying.
- Exactly 14 are drawn (removed permanently, as it’s once-in-a-lifetime), taken preferentially from the current highest-points bins.

New entrants (modeled at ~1,246 per year to point 1 to keep the low end stable, consistent with the current data) never catch up to your advancing points level in the relevant timeframe.

Year-by-year simulation of the full points bins (advancing survivors after attrition + draws, with new entrants) shows the competing pool (*s* = applicants with ≥ your points that year) shrinks due to attrition + the cumulative effect of 14 draws/year removing from the top. It first drops low enough for >25% chance in **year 45** (your points = 51, *s* ≈ 27, preferential chance ≈ 26%).

- Earlier years: Your chance stays very low (e.g., <1% for the first ~20 years, ~10% by year 21).
- The random-weighted portion adds a small extra boost, so your true odds will be at least this high.
- Real-world factors (slight variations in new applicants, exact tie-breaking, or any changes in total permits/attrition) could shift this by a few years, but under the stated assumptions this is the projection.

This matches standard modeling of Utah once-in-a-lifetime draws (e.g., bison nonresident pool) using the official points reports. The pool of “legacy” applicants ahead or tied with you simply takes decades to attrition + draw down under an 8% dropout rate.
 
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