How Hatch Probability Climbs With More Eggs
A 1-in-3,000,000 Secret doesn't mean you need exactly 3,000,000 hatches — probability compounds with every egg you open. The chart below shows cumulative probability at increasing hatch milestones for a 1-in-3,000,000 Secret with no luck boost:
15%
500K
28%
1M
49%
2M
63%
3M
81%
5M
Formula: probability of at least one hit = 1 − (1 − p)^hatches, where p is the per-hatch odds. Notice the curve rises fast early on and flattens later — going from 3M to 5M hatches (a 67% increase in eggs) only adds about 18 percentage points, since you're increasingly likely to have already hatched it by then.
| Factor | Formula |
|---|---|
| Effective Odds | Base Odds (1 ÷ Denominator) × Luck Multiplier, capped at 100% |
| Probability of At Least One | 1 − (1 − Effective Odds)^Hatches |
| Hatches for X% Confidence | ln(1 − X) ÷ ln(1 − Effective Odds) |
| Expected Value Per Hatch | Effective Odds × Secret Pet's Estimated Value |
The Six Rarity Tiers
Every egg follows the same rarity structure — five fixed common-to-legendary tiers, plus a Secret tier whose odds vary by egg.
| Rarity | Typical Odds |
|---|---|
| Common | 55% |
| Unique | 25% |
| Rare | 12% |
| Epic | 6% |
| Legendary | ~2% (egg-dependent) |
| Secret | 1 in 2,200,000 to 1 in 5,000,000 (egg-dependent) |
Luck Tier Reference
Your results carry one luck tier badge, classified by the luck multiplier you entered.
| Luck Multiplier | Tier |
|---|---|
| 1.0x (none) | No Boost |
| 1.01x – 2.99x | Lucky |
| 3.00x – 9.99x | Very Lucky |
| 10.0x+ | Blessed |
Frequently Asked Questions
How many hatches does it take to get a Secret pet?
What does a luck multiplier actually do?
Are these odds official Pet Simulator 99 drop rates?
What is "expected value per hatch" and why does it matter?
Why is the 90% confidence number so much higher than the 50% number?
Is this the same as the Gacha Pity or Pulls to Pity calculators on this site?
What's the hardest Secret pet to hatch in this calculator?
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