God-Roll & Mutation Odds Calculator
A god-roll is a budgeting problem: a ~1% mutation rate means an average of 100 eggs — and a 37% chance of still having nothing after those 100. Pick your cake and your target, and this calculator shows the per-egg odds, the expected eggs, and the hatch count you need for real confidence. Every rate comes from the 1.0 model in our mutation breeding guide; where the game publishes no rate, the calculator says so instead of inventing one.
Palworld 1.0 · build 24575149
~3% mutation chance and a moderate multi-passive inheritance boost (~20%).
Mutation odds
Per egg: 3.00% · expected eggs for one mutation: 33 · 90% sure within 76 eggs
Chance of at least one mutation in 100 rolls: 95.2%
God-roll odds
Per egg: 0.60% (20.0% inherit the passive set × 3.00% mutation) · expected eggs: 167 · chance in 100 rolls: 45.2%
How to use the odds
Hunting a rainbow passive? Deluxe Vegetable Cake triples the mutation rate to ~3% — an average of 33 eggs per mutation instead of 100, and 230 eggs buys you 90% confidence at the baseline rate versus 76 on Deluxe.
Stacking parent passives? That is an inheritance problem, not a mutation problem. Special Cake's ~90% multi-passive inheritance is the tool — use Deluxe to find the mutation first, then switch to Special to bundle the set onto the final Pal.
On a budget? Vegetable Cake gives two eggs per cycle at the baseline rate — the cheapest way to double your rolls when cakes are scarce.
Got the parents picked?
Check what any pair actually hatches — and the easiest route to your target Pal — in the planner and pair pages.