Mtg Card Pulling Calculator

This MTG Card Pulling Calculator helps you determine the odds of pulling specific Magic: The Gathering cards from booster packs. Whether you're a casual player or a serious collector, understanding your chances of pulling rare cards can help you make better purchasing decisions and manage your expectations.

How to Use This Calculator

Using this calculator is simple. Just follow these steps:

Enter the number of cards you want to pull (e.g., 10, 20, 30).
Select the rarity of the card you're targeting (Common, Uncommon, Rare, Mythic Rare).
Enter the number of booster packs you plan to purchase.
Click "Calculate" to see your odds of pulling at least one of the selected rarity.

The calculator will display your probability in both percentage and decimal form, along with a visual representation of your chances.

Formula Used

The probability of pulling at least one card of the selected rarity from a set number of booster packs is calculated using the binomial probability formula:

Probability Formula

P(at least one success) = 1 - P(no successes)

P(no successes) = (1 - p)^n

Where:

p = probability of pulling a card of the selected rarity in one pack
n = number of booster packs purchased

For standard Magic: The Gathering booster packs, the probabilities for each rarity are:

Common: 11/14 (approximately 78.57%)
Uncommon: 3/14 (approximately 21.43%)
Rare: 1/14 (approximately 7.14%)
Mythic Rare: 1/14 (approximately 7.14%)

Note: These probabilities are based on standard Magic: The Gathering booster packs and may vary for different sets or special editions.

Worked Examples

Let's look at some practical examples to understand how the calculator works.

Example 1: Pulling a Rare Card

You want to pull at least one Rare card from 10 booster packs.

Using the formula:

P(at least one Rare) = 1 - (1 - 1/14)^10 ≈ 1 - (0.9286)^10 ≈ 1 - 0.536 ≈ 0.464 or 46.4%

This means you have about a 46.4% chance of pulling at least one Rare card from 10 booster packs.

Example 2: Pulling a Mythic Rare Card

You want to pull at least one Mythic Rare card from 20 booster packs.

Using the formula:

P(at least one Mythic Rare) = 1 - (1 - 1/14)^20 ≈ 1 - (0.9286)^20 ≈ 1 - 0.296 ≈ 0.704 or 70.4%

This means you have about a 70.4% chance of pulling at least one Mythic Rare card from 20 booster packs.

These examples demonstrate how the calculator can help you make informed decisions about your Magic: The Gathering purchases.

Frequently Asked Questions

How accurate are the probabilities shown in the calculator?

The probabilities are based on standard Magic: The Gathering booster pack compositions. However, actual results may vary depending on the specific set and any promotional cards included in the packs.

Does this calculator account for pull rates from different sets?

No, this calculator uses standard pull rates that apply to most Magic: The Gathering sets. For sets with different pull rates, you would need to adjust the probabilities accordingly.

Can I use this calculator for other TCGs besides Magic: The Gathering?

This calculator is specifically designed for Magic: The Gathering. For other TCGs, you would need to adjust the pull rates to match the specific game's booster pack composition.

How often should I update my pull rates?

Pull rates can change with new sets or special editions. It's a good idea to check for updates when new sets are released to ensure you have the most accurate information.