Editing Openai/692e9127-f13c-800a-8bd6-4bf3c4a385c8 (section)

==== True minimum never changes. It is always 0 modules. You can always get absurdly unlucky. ====

What changes is how unusual that kind of bad run is:
* With more waves, the distribution tightens around the average.
* So your “normal worst case” gets closer to the mean in percent, even though the raw gap in module count is a bit bigger.

Rough idea using your observed behavior:
* At 4500 waves: Mean ≈ 28 modules. A really bad but not insane run might land in the high teens.
* At 9000 waves: Mean ≈ 56 modules. A really bad run might be in the low 40s.

So:
* Per wave probability does not improve with longer runs.
* Longer runs give you more modules on average and make extreme bad luck less common.

If you tell me which level you usually farm and roughly how long a 4500, 5500, or 9000 wave run takes, I can help you choose the sweet spot in modules per hour, not just per run.