| Copies Drawn | Exact Probability | Cumulative (At Least) |
|---|
| Copies Prized | Exact Probability | Cumulative (At Least) |
|---|
| Copies in 6 Prizes | |||||
|---|---|---|---|---|---|
| Copies in Hand | 0 Prized | 1 Prized | 2 Prized | 3 Prized | 4 Prized |
Tools to Also Try
Wingspan Board Game Resource Production
The Ultimate Pokémon TCG Prize & Draw Probability Calculator
Competitive Pokémon TCG players know the game is never purely about luck. The players who consistently top cut aren't just drawing well they've done the homework on their deck's math before the tournament even starts.
This calculator gives you that same edge, putting precise probability data in your hands so you can build smarter not just luckier.
From your opening seven cards to the six sitting face down as prizes, every draw in this game follows rules that statistics can predict. Use this tool to find out exactly how consistent your deck really is — and where it's quietly letting you down.
Why Deck Probability Math Actually Matters
Picture this: you've built your entire game plan around a single tech card and it's prized. Game over before it started. Or you've kept your Basic count low to make room for evolution lines and you're handing your opponent a free card before turn one because you mulliganed.
These aren't just bad beats. They're predictable outcomes and once you understand the numbers, you can engineer them out of your list.
Competitive players have watched this play out on the biggest stages. At the 2017 North America Internationals, John Kettler visibly suffered through prized Oddish and Rowlet copies during critical matches. On stream it looked like a curse. Statistically it was just variance that his deck construction hadn't accounted for.
That's what this tool fixes. Before you sleeve up your list you'll know:
How likely you are to open with zero Basics and force a mulligan, handing your opponent extra cards before the game even begins. Whether four copies of your key supporter is enough to reliably hit it turn one or whether three is a liability.
The realistic odds that your single-copy tech card is sitting in your prizes, completely out of reach, in any given game. And crucially — how drawing certain cards in your opening hand actually changes what ends up prized.
How Each Section of the Calculator Works
Mulligan Calculator
A mulligan happens when your opening seven cards contain zero Basic Pokémon forcing you to reveal your hand and let your opponent draw an extra card. Run this too often and you're giving away free resources before the game begins.
To use it: type in the total number of Basic Pokémon in your 60-card deck. The calculator immediately returns two numbers your probability of drawing a legal opening hand, and your probability of mulliganing. No guesswork, no rough estimates.
Opening Hand Probability
Your first seven cards define your early game tempo. This section tells you how likely you are to see any specific card in that opening draw.
Enter how many copies of a card your deck runs say, four copies of Professor's Research. You'll get a full breakdown: the exact percentage chance of drawing zero, one, two, three or four copies in your opening hand. You'll also see a cumulative figure showing your odds of drawing at least one copy which is usually the most useful number for deck-building decisions.
Prize Cards Probability
This is the section most players wish they'd had access to years ago. Enter the number of copies of any card in your deck, and the calculator tells you the precise probability of that many copies ending up among your six prize cards at the start of the game before a single card has been drawn.
Use this to evaluate whether one copy of a card is a real option or just wishful thinking.
Advanced Hand vs Prize Matrix
This is where most probability tools fall short and where this one separates itself. The problem with calculating opening hands and prize cards independently is that they aren't independent events in a real game.
If you draw two copies of a card in your opening hand, there are now fewer copies that could possibly be prized. These probabilities are linked and ignoring that link produces inaccurate results.
The Advanced Matrix handles the full multivariate hypergeometric calculation. Enter your total copy count (up to four), and the tool generates a two-dimensional grid.
Each cell shows the exact conditional probability of drawing a specific number of copies in your hand while simultaneously having a specific number prized. This is the most honest picture of your deck's real-world consistency.
The Math Running Under the Hood
Every calculation in this tool is powered by hypergeometric distribution the correct statistical model for any scenario where you're drawing from a fixed pool without replacing what you've already taken.
A coin flip is always 50/50 because nothing changes between flips. Card draws don't work that way. Your deck starts at 60 cards. You draw seven for your opening hand. Your prizes are then determined from the remaining 53. Each card removed changes the odds of what comes next and those changing odds compound across every draw.
Standard probability formulas built for independent events get this wrong. The hypergeometric model accounts for the shrinking pool at every stage which is why this calculator's outputs reflect what actually happens across thousands of games not a simplified approximation.
Putting the Numbers to Work: Practical Deck-Building Applications
The Single-Copy Tech Decision
Running just one copy of a situational counter card is a common competitive choice. It saves deck space while giving you an answer to a specific matchup. But plug the number one into the Prize Cards section and you'll see there's a flat 10% chance that card is prized every single game. In a best-of-three match against the exact deck your tech is meant to beat that's a significant liability.
If you can't afford to miss it, consider a second copy or a recovery option like Hisuian Heavy Ball to fetch it back from prizes if needed.
Finding Your Basic Pokémon Floor
Evolution-heavy decks are always tempted to trim Basics to free up space for Stage 1s and Stage 2s. Try entering six into the Mulligan Calculator.
The result tends to surprise players who haven't run the numbers before the mulligan rate at that count is uncomfortably high and gifting your opponent repeated extra draws early is a very real competitive disadvantage.
Most experienced players settle on eight to twelve Basics as the range where mulligan risk drops to an acceptable level without sacrificing too much deck space.
Frequently Asked Questions
What are the odds of prizing every copy of a card?
It depends entirely on how many copies you're running. Four copies all ending up in your six prizes is an extremely rare outcome well under 0.1%.
But drop to two copies and the odds of both being prized climb to around 1%. Use the calculator directly for exact figures based on your specific copy count.
Does this tool factor in draws made after the opening hand?
This calculator focuses on your starting game state: the seven cards in your opening hand, the six cards in your prizes, and your mulligan risk.
These are the variables that matter most for deck construction because they're set before any in-game decisions are made. Mid-game probability shifts constantly as you thin your deck with search cards and draw supporters, making those calculations far more situational.
How many Basics do I actually need to keep mulligans rare?
There's no count that eliminates the risk entirely unless every card in your deck is a Basic. But running ten to twelve Basics brings your mulligan probability down to roughly 19–26% which most competitive players treat as an acceptable range. Below that the risk starts compounding into a real consistency problem.
Does the current card pool affect how accurate this tool is?
No. The fundamental structure of the game 60-card decks, seven-card opening hands, six prize cards hasn't changed and applies equally across Standard, Expanded and Gym Leader Challenge formats. The math is format-agnostic so the calculator remains accurate regardless of which sets are currently legal.
