Mtg Card Chance Calculator
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Reviewed by Calculator Editorial Team
This MTG Card Chance Calculator helps you determine the probability of drawing specific cards from your Magic: The Gathering deck. Whether you're preparing for a tournament or just want to know your odds, this tool provides quick and accurate results based on your deck composition.
How to Use This Calculator
Using the MTG Card Chance Calculator is simple. Follow these steps:
- Enter the total number of cards in your deck in the "Total Cards in Deck" field.
- Enter the number of copies of the card you want to calculate the odds for in the "Copies of Target Card" field.
- Select how many cards you want to draw in the "Number of Cards to Draw" field.
- Click the "Calculate" button to see your results.
The calculator will display the probability of drawing at least one copy of your target card, the probability of drawing all copies of your target card, and the probability of drawing exactly the number of copies you specified.
Formula Used
The calculator uses the hypergeometric distribution to calculate probabilities. The key formulas are:
Probability of drawing at least one copy:
1 - (Combinations(N - K, n) / Combinations(N, n))
Where:
- N = Total cards in deck
- K = Copies of target card
- n = Number of cards to draw
Probability of drawing exactly x copies:
(Combinations(K, x) * Combinations(N - K, n - x)) / Combinations(N, n)
The calculator also provides the probability of drawing all copies of your target card by setting x = K in the exact probability formula.
Worked Example
Let's say you have a deck with 60 cards, and you have 4 copies of a specific card. You want to know the probability of drawing at least one copy when you draw 7 cards.
| Parameter | Value |
|---|---|
| Total cards in deck | 60 |
| Copies of target card | 4 |
| Number of cards to draw | 7 |
The calculator would calculate:
- Probability of drawing at least one copy: ~19.8%
- Probability of drawing all 4 copies: ~0.1%
- Probability of drawing exactly 2 copies: ~12.5%
This means you have a 19.8% chance of drawing at least one copy of your target card when drawing 7 cards from a 60-card deck with 4 copies of that card.
Frequently Asked Questions
What is the difference between "at least one" and "exactly" probability?
"At least one" probability calculates the chance of drawing one or more copies of your target card. "Exactly" probability calculates the chance of drawing a specific number of copies, which could be zero, one, or more.
Does this calculator account for sideboard cards?
No, this calculator assumes you're drawing from your main deck only. If you want to include sideboard cards, you'll need to adjust the total number of cards in your deck accordingly.
Can I use this calculator for Commander decks?
Yes, you can use this calculator for any type of Magic: The Gathering deck, including Commander decks. Just enter the appropriate numbers for your deck composition.