The Hypergeometric Calculator Yu-Gi-Oh! is an essential tool for competitive duelists to optimize deck consistency. By calculating the exact probability of drawing specific “combo pieces” or “hand traps,” you can make data-driven decisions on whether to run 40 or 60 cards.
Hypergeometric Calculator Yu-Gi-Oh!
Hypergeometric Calculator Yu-Gi-Oh! Formula:
Source: Wikipedia – Hypergeometric Distribution | Yugipedia Probability Guide
Variables:
- N (Population Size): The total number of cards in your deck (usually 40 to 60).
- n (Sample Size): The number of cards you draw (usually 5 for a starting hand, or 6 if going second).
- K (Successes in Population): How many copies of the specific card you are playing (e.g., 3 copies of “Ash Blossom”).
- k (Successes in Sample): The number of copies you want to see in your hand.
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What is Hypergeometric Calculator Yu-Gi-Oh!?
In Yu-Gi-Oh!, the hypergeometric distribution is the mathematical backbone of deck building. Unlike rolling a die where probabilities remain constant, drawing cards is “sampling without replacement.” Every card you pull from the deck changes the probability of the next draw.
Using this calculator allows you to determine if adding a 41st card significantly hurts your chances of seeing a starter, or if playing a 60-card “Pile” deck is viable given the number of searchers and engine requirements.
How to Calculate Hypergeometric Probability (Example):
- Identify your Deck Size (e.g., 40).
- Determine your Opening Hand (e.g., 5).
- Count the copies of your starter (e.g., 3 copies of “Aluber the Jester of Despia”).
- Plug the numbers into the calculator to find the chance of seeing at least 1 copy. (In this case, it is approximately 33.7%).
Frequently Asked Questions (FAQ):
Should I play 40 or 60 cards? Generally, 40 cards maximize the chance of drawing your best individual cards. However, 60-card decks are used to minimize the chance of drawing “Garnets” (cards you want in the deck, not your hand).
What is a “Brick” in Yu-Gi-Oh!? A brick is a card that has no utility when drawn. This calculator can help you find the probability of drawing these unwanted cards.
What is the “At Least” probability? In YGO, you usually care about drawing “at least one” starter. This is calculated by summing the probabilities of drawing 1, 2, and 3 copies, or by subtracting the probability of drawing 0 from 100%.
Is going second better for consistency? Yes, drawing a 6th card increases your probability of seeing a specific 3-of starter from ~33.7% to ~39.4%.