Gaming calculators

Shiny Odds Calculator

Updated Jul 5, 2026 By Jehan Wadia
Rate Formulas
Hunt Configuration
Base rate: 1/4096
Used to flag shiny-locked species.
Hunting Method
Standard wild encounters using the game's base rate plus the Shiny Charm bonus (if obtained).
Consulting the RNG gods…

Results
Odds Per Encounter
Mean Encounters
Median Encounters
Estimated Mean Time
Cumulative Probability
Probabilities never truly reach 0% or 100% — displayed values are rounded. Formula: P(at least 1) = 1 − (1 − p)n.
Detailed Results
MetricValue
Odds per encounter
Chance per encounter
Mean encounters to find
Median encounters to find
Estimated mean time
Estimated median time
Encounters Needed to Reach Milestone
Number of encounters required to reach each cumulative probability milestone at the current odds.
MilestoneEncounters Needed
25% cumulative chance
50% cumulative chance (median)
75% cumulative chance
90% cumulative chance
99% cumulative chance
Cumulative Probability Curve
Cumulative probability data points
EncountersCumulative %
Step-by-Step Solution

Introduction

Shiny Pokémon are rare color variants that every trainer wants to find. The odds of finding one can be as low as 1 in 8,192 or as high as 1 in 512, depending on your game and hunting method. This shiny odds calculator helps you figure out your exact chances.

Pick your game version, choose your hunting method, and enter how many encounters you have done so far. The calculator does all the math for you. It shows your odds per encounter, how many encounters you should expect, and how long your hunt might take. It covers every method from Masuda breeding and SOS chaining to mass outbreaks and Sparkling Power sandwiches across Generations II through IX.

Whether you are soft resetting for a shiny starter or chaining in the wild, use this tool to see where you stand and how much longer your hunt could take. Once you find your shiny, you can use our Pokemon IV Calculator to check its individual values or our Pokemon Damage Calculator to see how it performs in battle.

How to Use Our Shiny Odds Calculator

Enter your game, hunting method, and encounter details below. The calculator will show your odds per encounter, how many encounters you need on average, and your chance of having found a shiny so far.

Game Version: Pick the Pokémon game you are playing. Each game has a different base shiny rate. Older games use 1/8192 odds, while newer games use 1/4096. If you are unfamiliar with how odds and probabilities differ, our Odds Calculator explains the distinction.

Target Pokémon: Choose the Pokémon you are hunting. Some Pokémon are shiny locked in certain games, which means they can never be shiny. The calculator will warn you if your pick is locked. To learn more about your target's strengths and weaknesses, try our Pokemon Type Calculator.

Display Mode: Choose Mean, Median, or Both. Mean is the average number of encounters needed. Median is the point where half of all hunters would have found a shiny. Both shows you both numbers at once. Our Mean Median Mode Calculator covers these concepts in more detail.

Encounters per Hour: Enter how many encounters you can do in one hour. This is used to estimate how long your hunt will take in real time.

Encounters Performed So Far: Enter how many encounters you have already done. The calculator uses this to tell you your cumulative chance of having found a shiny by now.

Shiny Charm: Turn this on if you have the Shiny Charm in your game. The Shiny Charm adds extra shiny rolls and is available from Black 2 and White 2 onward.

Hunting Method: Click the tab that matches how you are hunting. Only methods that work in your chosen game will be available. Grayed-out tabs do not apply to that game.

Full Odds: Standard wild encounters with no special boosts beyond the Shiny Charm.

Masuda Method: Breeding two Pokémon from games in different languages. Toggle "Parents from different language games" on for the boost to apply. The Oval Charm speeds up eggs but does not change shiny odds. If you enjoy breeding mechanics in other games, our Palworld Breeding Calculator works on similar principles.

SOS Chaining: Enter your current SOS chain length. Bonus shiny rolls kick in at chains of 11, 21, and 31. This method is only in Sun, Moon, Ultra Sun, and Ultra Moon.

Poké Radar: Enter your chain count from 0 to 40. Odds get better with each step in the chain and peak at 40.

Chain Fishing: Enter how many times you have reeled in a Pokémon in a row without breaking the chain. Each successful reel adds bonus rolls, up to a chain of 20.

DexNav: Enter your search level for the target Pokémon. Higher search levels give you more shiny rolls. This method is only in Omega Ruby and Alpha Sapphire.

Hordes: Horde battles put five wild Pokémon on screen at once. Each one gets its own shiny check, so your odds per battle are five times higher.

Safari Zone: Safari Zone encounters use the normal base shiny rate. No chain bonuses apply here.

Mass Outbreak: Select how many Pokémon you have defeated or caught in the outbreak. In Scarlet and Violet, clearing 30 or 60 adds extra shiny rolls. Legends: Arceus applies its outbreak bonus automatically.

Sparkling Power: Pick your Sparkling Power sandwich level from 0 to 3. You can also combine it with an active Mass Outbreak for even better odds. This method is only in Scarlet and Violet.

Press the Calculate button to see your results. Press Reset to return all settings to their defaults.

What Are Shiny Pokémon?

Shiny Pokémon are rare versions of normal Pokémon that have different colors. They sparkle when they appear in battle. Every time you encounter or hatch a Pokémon, the game rolls a virtual dice to decide if it will be shiny. In most modern games, the base chance is 1 in 4096. In older games from Generations II through V, the base chance is 1 in 8192. Shiny Pokémon play no differently — they just look cool and are hard to find. To evaluate how a shiny performs in competitive play, check its stats with our Pokemon Stat Calculator or run matchups through the Pokemon Damage Calculator.

How Shiny Odds Work

Each encounter is its own independent dice roll. Finding a shiny on your first try does not make the next one harder, and failing 10,000 times does not make the next one easier. The game checks one or more "rolls" each encounter. If any single roll hits, the Pokémon is shiny. Methods like the Masuda Method, SOS Chaining, Poké Radar, Chain Fishing, Mass Outbreaks, and Sparkling Power sandwiches add extra rolls per encounter. More rolls means better odds. The underlying math follows a geometric distribution — our Probability Calculator can help you explore these concepts further, and the Binomial Distribution Calculator lets you model the probability of multiple successes across a set number of trials. If you play other games with rare drop mechanics, our OSRS Dry Calculator uses the same cumulative probability formula to track unlucky streaks.

The Shiny Charm

The Shiny Charm is a key item you earn by completing your Pokédex. It was introduced in Black 2 and White 2 and appears in every main game since. It gives you 2 extra shiny rolls on every encounter (3 extra in Legends: Arceus). It stacks with all other shiny hunting methods, so it is always worth getting before you start a long hunt. Completing your Pokédex also means catching everything — our Pokemon Catch Rate Calculator can help you figure out the best ball and strategy for hard-to-catch species.

Shiny-Locked Pokémon

Some Pokémon are shiny locked, which means the game blocks them from ever being shiny. This usually applies to gift starters, cover legendaries, and certain story encounters. No amount of resets will work on a shiny-locked Pokémon. This calculator flags known shiny-locked species so you do not waste your time. You can still use our Pokemon Type Calculator and Pokemon IV Calculator to get the most out of your non-shiny versions.

Mean vs. Median

The mean is the mathematical average number of encounters needed. It equals 1 divided by your odds. The median is the point where half of all hunters would have found a shiny. The median is always lower than the mean because a few very unlucky hunts pull the average up. For full odds in modern games, the mean is 4,096 encounters but the median is only about 2,839. If you want to explore these statistical measures on your own data sets, try our Mean Median Mode Calculator or Median Calculator. For understanding how far your luck deviates from the expected value, the EV Calculator and Percentage Calculator are also useful tools.


Formulas used

Per-encounter shiny probability
p = \frac{\text{rolls}}{\text{denominator}}
Mean encounters to find a shiny
\text{Mean} = \frac{1}{p}
Median encounters to find a shiny
\text{Median} = \left\lceil \frac{\ln(0.5)}{\ln(1 - p)} \right\rceil
Cumulative probability after n encounters
P(\ge 1) = 1 - (1 - p)^{n}
Encounters needed for a target cumulative probability
n = \left\lceil \frac{\ln(1 - t)}{\ln(1 - p)} \right\rceil
Poké Radar per-encounter probability
p = \frac{\left\lfloor \dfrac{65535}{8200 - 200c} \right\rfloor}{65536}

Frequently asked questions

What is a shiny odds calculator?

A shiny odds calculator is a tool that tells you the exact chance of finding a shiny Pokémon based on your game, hunting method, and any bonuses you have active. You enter your settings and it does all the math for you.

Why did my shiny odds not change when I did more encounters?

Your per-encounter odds stay the same no matter how many encounters you do. Each encounter is a fresh dice roll. What changes is your cumulative probability, which is the overall chance that at least one of all your encounters was shiny. The calculator shows both numbers.

What are the best shiny odds you can get in Scarlet and Violet?

The best odds in Scarlet and Violet are about 1 in 512. You reach this by combining the Shiny Charm, a Sparkling Power Level 3 sandwich, and a Mass Outbreak at 60+ clears. That gives you 8 total shiny rolls per encounter.

Why are some hunting method tabs grayed out?

Grayed-out tabs mean that method does not exist in your chosen game. For example, SOS Chaining only works in Sun, Moon, Ultra Sun, and Ultra Moon. Pick a game that supports the method you want, and the tab will become clickable.

Does the Oval Charm improve shiny odds?

No. The Oval Charm makes eggs appear faster at the daycare, but it does not change your shiny odds at all. Only the Shiny Charm and specific hunting methods boost your shiny chance.

What does encounters per hour mean?

Encounters per hour is how many Pokémon you can encounter or hatch in 60 minutes. The calculator uses this number to estimate how long your hunt will take in real time. A faster method means a shorter hunt.

What does cumulative probability mean?

Cumulative probability is the chance that you would have found at least one shiny across all your encounters so far. For example, if it says 63%, that means about 63 out of 100 hunters with the same odds and encounter count would have found a shiny by now.

Can I guarantee a shiny if I do enough encounters?

No. Shiny hunting is based on random chance. Even after thousands of encounters, there is never a 100% guarantee. The cumulative probability gets very close to 100% but never truly reaches it. You can always get unlucky.

What does shiny locked mean?

Shiny locked means the game blocks that Pokémon from ever being shiny. No matter how many times you reset or encounter it, it will never sparkle. This usually applies to gift starters and certain legendaries. The calculator warns you if your target is locked.

Why is the median lower than the mean?

The median is lower because a small number of extremely long hunts pull the average (mean) up. Half of all hunters find their shiny before the median. The mean gets inflated by those rare cases where someone goes 20,000+ encounters without finding one.

Do I need both foreign language parents for the Masuda Method?

Yes. The Masuda Method only works when the two parent Pokémon come from games set to different languages. If both parents are from the same language game, you get no Masuda bonus. Make sure the toggle is set correctly in the calculator.

What shiny odds does the Poké Radar give at a chain of 40?

At a Poké Radar chain of 40, your odds reach about 1 in 200. This is one of the best shiny rates available without breeding. The calculator shows the exact math at any chain length from 0 to 40.

How does SOS chaining improve shiny odds?

SOS chaining adds extra shiny rolls at certain thresholds. At a chain of 11 you get 4 extra rolls, at 21 you get 8 extra rolls, and at 31 or higher you get 12 extra rolls. These stack with the Shiny Charm for even better odds.

What is the base shiny rate in older Pokémon games?

In Generations II through V (Gold, Silver, Crystal through Black 2 and White 2), the base shiny rate is 1 in 8,192. Starting in Generation VI (X and Y), the base rate was doubled to 1 in 4,096.

How does Chain Fishing work for shiny hunting?

Chain Fishing means reeling in a Pokémon every single cast without missing or moving. Each successful reel in a row adds 2 extra shiny rolls, up to a chain of 20. If you miss a bite, move, or reel in too early, the chain breaks and you start over.

Does the calculator work for Legends Arceus mass outbreaks?

Yes. When you pick Legends: Arceus as your game and select the Mass Outbreak method, the calculator automatically applies the 25 extra shiny rolls that Legends: Arceus gives during mass outbreaks, plus the Shiny Charm bonus if you have it.

What does the luck meter in the results mean?

The luck meter compares your encounter count to what is expected. Blue means you are still early. Gray means you are about average. Orange means you are running unlucky. Red means you are very unlucky, and most hunters would have found a shiny by now.

Can I combine Sparkling Power sandwiches with other bonuses?

Yes. In Scarlet and Violet, Sparkling Power from sandwiches stacks with both the Shiny Charm and Mass Outbreak bonuses. The calculator lets you set all three at once to see your combined odds.

How many encounters does it take to have a 99% chance of finding a shiny?

It depends on your odds. At full odds in a modern game (1/4096 with no boosts), you need about 18,861 encounters to reach a 99% cumulative chance. With better odds like 1/512, you need about 2,358. Check the milestone table in the results for your exact number.

Why does the chart show my probability never reaching 100%?

Because it never truly does. Each encounter is independent, so there is always a tiny chance of not finding a shiny. The curve gets very close to 100% but mathematically it can never touch it. That is just how probability works with random events.