Pokemon Shiny Probability Calculator
Enter the base shiny denominator for the game, the number of independent shiny rolls per encounter, and the number of encounters in the hunt.
- Base Probability
- 0
- Effective Per-Encounter Probability
- 0
- Effective One-In Odds
- 4,096 encounters
- Expected Shinies
- 0.2441
- Attempts for 90% Chance
- 9,431 encounters
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The main result is the chance of at least one shiny. Supporting results show effective one-in odds, expected shinies, the probability of no shiny, and attempts needed to reach approximately 50%, 90%, 95%, and 99% confidence.
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How to Use This Calculator
Choose or enter the denominator that applies before added rolls, such as 8192 for many older games or 4096 for many modern games. Enter the total number of independent rolls produced by the specific hunting method. Do not combine modifiers unless the game's mechanics actually stack them that way.
Formula & Methodology
If the base probability is one divided by the denominator and an encounter receives r independent rolls, effective per-encounter probability is one minus the probability that all r rolls fail. Across n independent encounters, the chance of at least one shiny is one minus the chance that every encounter fails.
Example: 1 in 4,096 with three rolls over 1,000 encounters
Three independent rolls create an effective per-encounter chance of 1 - (4095/4096)^3. Repeating that effective chance 1,000 times produces the probability of at least one shiny during the hunt.
Not every shiny mechanic is equivalent to independent extra rolls. Chaining, outbreaks, sandwiches, Pokédex research, Dynamax Adventures, guaranteed encounters, overworld spawn generation, rerolls, and game-specific exclusions must be translated into the correct denominator and roll count. Encounters may not be independent in every implementation.
Independent fan-made probability tool. Pokémon and related marks belong to Nintendo, Creatures, and Game Freak. Verify the exact mechanics for the game, version, species, and encounter method.
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Related Guides
- How Pokémon Shiny Odds WorkUnderstand base shiny rates, extra rolls, independent attempts, and why reaching the one-in denominator does not guarantee a shiny.
- Pokémon Shiny Probability by Number of EncountersCalculate the chance of at least one shiny after a hunt and understand 50%, 90%, 95%, and 99% confidence targets.
- How OSRS DPS Is Calculated: Attack Bonus, Strength, and PrayerUnderstand how OSRS damage per second is calculated from attack speed, accuracy, max hit, and prayer bonuses. Covers the effective level, roll, and hit damage formulas.
- MTG Land Draw Probability ExplainedUnderstand expected lands, at-least probabilities, hypergeometric sampling, and why one bad opening hand does not prove a mana base is wrong.
- How Pokémon Catch Rate Is CalculatedUnderstand the Pokémon catch rate formula — how HP, status conditions, ball type, and base catch rate combine to calculate the probability of catching any Pokémon.
Frequently Asked Questions
- What are the common base shiny odds?
- Many Generation II–V encounters use 1 in 8,192, while many Generation VI and later encounters use 1 in 4,096. Specific methods and games can differ.
- Does the Shiny Charm always add the same number of rolls?
- No. Its effect and eligibility vary by game and encounter method. Verify the specific title before choosing a roll count.
- Why am I not guaranteed a shiny after reaching the denominator?
- The denominator describes probability per attempt, not a fixed pity counter. Independent random attempts can succeed earlier or remain unsuccessful much longer.
- What does 90% confidence mean?
- It means the model predicts a 90% chance of at least one shiny by that many independent attempts, not a guarantee.
- Can I model Masuda Method?
- Yes, after verifying the correct base denominator and total rolls for the specific game. Enter those values directly rather than assuming one universal Masuda rate.
Last updated 7/20/2026