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🥚 Egg Hatch Probability Engine Binomial Distribution Math

Grow a Garden Egg Calculator

Estimate your chances of pulling Mythic and Secret pets. Factor in Super Luck potions, VIP boosts, and the 100-egg guaranteed pity mechanic across Roblox Grow a Garden.

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Hatch Odds Breakdown

Binomial Cumulative Probability Table

Chance of successfully pulling at least one targeted pet by egg count.

Eggs Opened Rare Pet (28% base) Epic Pet (9.5% base) Legendary Pet (2.4% base) Mythic / Secret (0.1% base)
10 Eggs96.3%63.2%21.6%1.0%
25 Eggs> 99.9%91.7%45.6%2.5%
50 Eggs> 99.9%99.3%70.4%4.9%
100 Eggs (Pity Cap)100%100%100% (Guaranteed Pity)9.5%
250 Eggs100%100%100%22.1%

How the Roblox Grow a Garden Pity System Operates

The pity mechanic in Grow a Garden safeguards players from bad RNG streaks. If your client registers 99 consecutive egg opens without a Legendary or Mythic pet, your 100th hatch automatically triggers a Golden Pity animation.

Pro Tip for Efficiency: Never open Mythic Void Eggs without an active Ultra Luck Potion. Because the base chance for Secret pets is 0.1%, stacking an Ultra Luck potion (4x) boosts single rolls to 0.4%, reducing expected egg cost from 850,000,000 Shekels down to 212,500,000 Shekels.