Cal11 calculator
Search calculator...

Odds of Drawing A Card Mtg Calculator

Reviewed by Calculator Editorial Team

This calculator helps you determine the probability of drawing a specific card in Magic: The Gathering (MTG) based on your deck composition and the number of cards you draw. Whether you're a casual player or a competitive deck builder, understanding these odds can give you a strategic advantage.

How to Use This Calculator

Using the odds of drawing a card MTG calculator is straightforward. Follow these steps:

  1. Enter the total number of cards in your deck in the "Total cards in deck" field.
  2. Enter the number of copies of the specific card you want to draw in the "Copies of target card" field.
  3. Enter the number of cards you plan to draw in the "Number of cards to draw" field.
  4. Click the "Calculate" button to see the probability of drawing at least one copy of your target card.

The calculator will display the probability as a percentage and show a chart visualizing the probabilities for different numbers of draws.

How the Calculation Works

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

P = 1 - [C(n-k, m) / C(n, m)] Where: P = Probability of drawing at least one target card n = Total number of cards in the deck k = Number of target cards in the deck m = Number of cards drawn C(a, b) = Combination function (a choose b)

This formula accounts for the fact that you might draw multiple copies of the target card. The combination function C(a, b) calculates the number of ways to choose b items from a total of a items without regard to order.

The calculator uses this formula to compute the exact probability based on the values you enter.

Worked Example

Let's say you have a 60-card deck with 4 copies of a specific card. You want to know the probability of drawing at least one copy of this card when you draw 7 cards.

Using the formula:

P = 1 - [C(60-4, 7) / C(60, 7)] P = 1 - [C(56, 7) / C(60, 7)] P ≈ 1 - [0.00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000