Odds of Hitting Card Mtg Calculator

This calculator helps Magic: The Gathering players determine the probability of drawing specific cards from their deck. Whether you're building a new deck or analyzing an existing one, understanding these odds can help you make better strategic decisions.

How to Use This Calculator

Using the odds of hitting card MTG calculator is straightforward:

Enter the number of copies of the card you want to draw in the "Copies of Card" field.
Enter the total number of cards in your deck in the "Total Cards in Deck" field.
Enter the number of cards you want to draw in the "Cards to Draw" field.
Click the "Calculate" button to see the probability.

The calculator will display the probability of drawing at least one copy of your desired card, as well as the probability of drawing all copies if you have multiple instances of the same card.

How the Calculation Works

The probability of drawing a specific card in Magic: The Gathering is calculated using combinatorial probability. The formula for the probability of drawing at least one copy of a card is:

P(at least one) = 1 - [C(n - k, m) / C(n, m)]

Where:

n = total number of cards in the deck
k = number of copies of the desired card
m = number of cards drawn
C(a, b) = combination function (a choose b)

For multiple copies of the same card, the probability of drawing all copies is calculated using a similar approach but considering the combinations of drawing all specified copies.

Note: This calculator assumes a perfect shuffle and doesn't account for any deck manipulation effects or sideboard cards.

Worked Example

Let's say you have a deck with 60 cards, and you want to draw 7 cards. You have 4 copies of a specific card you're interested in.

Using the calculator:

Enter 4 for "Copies of Card"
Enter 60 for "Total Cards in Deck"
Enter 7 for "Cards to Draw"
Click "Calculate"

The calculator will show you the probability of drawing at least one copy of your desired card, as well as the probability of drawing all four copies.

This example helps you understand how likely you are to get the card you need when you open your hand.

Interpreting the Results

Understanding the results from the odds of hitting card MTG calculator can help you make better deck-building decisions:

If the probability is high (e.g., 70% or more), you're likely to get the card you want in most games.
If the probability is moderate (e.g., 30-70%), you might want to consider adding more copies of the card or adjusting your deck strategy.
If the probability is low (e.g., below 30%), you may need to reconsider whether the card is worth including in your deck.

Remember that these probabilities are averages and don't account for specific matchups or opponent strategies. Always consider the big picture when making deck-building decisions.

Frequently Asked Questions

How accurate is this calculator?

This calculator provides an estimate based on standard probability calculations. It assumes a perfect shuffle and doesn't account for any deck manipulation effects or sideboard cards.

Does this calculator work for Commander decks?

Yes, the calculator can be used for any type of Magic: The Gathering deck, including Commander decks. Just enter the appropriate numbers for your specific deck.

Can I use this calculator for sideboard cards?

This calculator is designed for main deck cards. For sideboard cards, you would need to adjust the total number of cards in your deck to reflect the sideboard.

How does this calculator handle multiple copies of the same card?

The calculator shows both the probability of drawing at least one copy and the probability of drawing all copies if you have multiple instances of the same card.