Mtg Mulligan Probability

GAME & ENTERTAINMENT – CARD GAME CALCULATOR Mtg Mulligan Probability A precise tool.
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What is the Mtg Mulligan Probability & How does it work?

In Magic: The Gathering, the opening hand is crucial because it determines whether you can reliably play your early‑game strategy. Players often mulligan when the hand contains too few lands, which reduces the chance of casting spells on time. Understanding the probability of drawing a desired number of lands helps you decide when a mulligan is statistically justified.

The likelihood of drawing a specific land count follows a hypergeometric distribution: you are sampling without replacement from a finite deck. The probability of having at least L lands in a hand of H cards from a N-card deck containing L_total lands is calculated by summing the individual probabilities for each acceptable land count.

P = sum_{i=L}^{H} frac{binom{L_{total}}{i}binom{N-L_{total}}{H-i}}{binom{N}{H}}
N = deck size, L_total = total lands in deck, H = hand size, L = minimum lands desired

By plugging your deck’s parameters into this formula, the calculator instantly shows the percentage chance of opening with enough lands. This quantitative insight lets you make more informed mulligan decisions and improves overall game consistency.

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Frequently Asked Questions
What is a mulligan in Magic: The Gathering?
A mulligan is when a player discards their starting hand and draws a new one, usually to improve the composition of their cards.
How does this calculator work?
This calculator uses the hypergeometric distribution to determine the probability of drawing a specific number of lands in your opening hand based on the total number of lands and non-land cards in your deck.
Why is the hypergeometric distribution used?
The hypergeometric distribution is used because it models sampling without replacement, which accurately reflects drawing cards from a deck where each card drawn affects the probability of subsequent draws.
What factors affect the mulligan decision?
Factors include the number of lands in your opening hand, the total number of lands and non-land cards in your deck, and the specific strategy you are trying to play.
Can this calculator help me decide when to mulligan?
Yes, by providing the probability of drawing a certain number of lands, this calculator can help you assess whether taking a mulligan is statistically justified based on your deck composition and game strategy.

Results are for informational purposes only and do not constitute professional advice.