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MTG London Mulligan Lands Probability Calculator

Probability of drawing 2-4 lands in a 7-card opener.

Compute the hypergeometric probability of drawing exactly k lands in a 7-card opening hand from a deck of size N containing L lands, plus the probability of "keepable" hands (2 ≤ k ≤ 5). Useful for evaluating mana-base size.

Marcus Laurent By Marcus Laurent
Published Last reviewed 1 min read

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Results

Enter values and click Calculate to see results.
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How to use this calculator

  1. Fill in the inputs above using the units you already have.
  2. Values update automatically as you type — no submit button needed.
  3. Hover any result row for the underlying formula and intermediate values.

Formula

P(X = k) = C(L, k) · C(N − L, 7 − k) / C(N, 7).

In depth

Compute the hypergeometric probability of drawing exactly k lands in a 7-card opening hand from a deck of size N containing L lands, plus the probability of "keepable" hands (2 ≤ k ≤ 5). Useful for evaluating mana-base size.