You just built a sweet deck. Now you’re staring at the land pile wondering — how many do I actually need? Cut too many and you’re stuck on two lands while your opponent curves out. Leave too many in and you’re topdecking Plains on turn nine. We’ve all been there.

Luckily, someone already solved this. Frank Karsten — Hall of Famer, mathematician, and the guy who’s been doing Magic probability math since before most of us knew what a hypergeometric distribution was — published the numbers everyone in competitive Magic references. If you just want the answer for your deck right now, plug it into the Mana Base Calculator. If you want to understand why, keep reading.

The Formula

Karsten ran regression analysis on thousands of winning tournament decklists and found a surprisingly clean formula for 60-card decks:

Lands = 19.59 + (1.90 × average mana value)

That’s your baseline. Then you adjust:

So a midrange deck averaging 2.8 MV with 4 cantrips and 2 rocks: 19.59 + 5.32 − 1.68 = about 23 lands. An aggro deck averaging 1.8 MV with no ramp: 19.59 + 3.42 = about 23 lands. Yes, aggro still needs lands. The curve is just lower, not nonexistent.

Land Counts by Format

FormatDeck SizeTypical LandsNotes
Standard6024–26No fetches to thin; the formula fits cleanly
Pioneer6023–26Same deal — no fetches, honest mana bases
Modern6020–24Fetches + cantrips let you cheat on count
Legacy6018–22Brainstorm, free spells, and Daze do heavy lifting
Pauper6022–24All basics and gainlands; no shortcuts
Commander9936–38Plus 8–12 ramp pieces; details below
Draft401716 for aggro, 18 for bombs — the eternal default
Sealed4017–18Pools run higher curves than draft, lean toward 18

The Karsten Table: How Many Sources of Each Color?

Total land count is only half the battle. The harder question is: how many of those lands need to produce blue? Or black? Or both? Karsten’s colored source table tells you how many sources of a single color you need to reliably cast a spell with that color’s pips. These numbers assume about 90% consistency after realistic mulligans.

Sources Needed in a 60-Card Deck

CostExample CardOn TurnSources
CRagavan (R)114
1CThalia (1W)213
2CFable of the Mirror-Breaker (2R)312
3CSheoldred, the Apocalypse (3B)410
CCCounterspell (UU)221
1CCLiliana of the Veil (1BB)318
2CCWrath of God (2WW)416
CCCSteel Leaf Champion (GGG)323
CCCCPhyrexian Obliterator (BBBB)421

Look at Counterspell. UU on turn 2 means you need 21 blue sources. In a 24-land deck, that’s nearly every single land producing blue. If you’re playing three colors and jamming Counterspell, the math is screaming at you — you either need a pile of blue duals or you’re going to brick on UU more often than you think. There’s a reason competitive players treat double-pip cards as a real cost during deckbuilding.

Other Deck Sizes

For 40-card Limited, multiply the 60-card number by 0.67. A turn-1 one-drop needs about 9–10 sources. For 99-card Commander, multiply by 1.65 — a single-pip spell you want by turn 3 needs about 20 sources. The calculator does this math for you.

Commander: 99 Cards, 99 Problems

Commander mana bases are a different beast. Your deck is 65% bigger, but you’ve got some things going for you: guaranteed access to your commander, a free mulligan, and 40 life to absorb a slow start. Karsten accounts for these with a −1.35 land offset in his Commander formula.

In practice:

For ramp adjustments: each 2-mana rock is worth about a third of a land, so every 2–3 rocks let you cut one land. Sol Ring is worth about one land by itself. Don’t go below 33 unless you have an absurdly low curve and 15+ ramp pieces — and even then, think twice.

Limited: 17 Lands and When to Deviate

17 lands in 40 cards. Everyone knows this one, and the math confirms it — 17/40 (42.5%) closely matches 25/60 (41.7%), which is where most balanced constructed decks land.

Why These Numbers Work: The Actual Math

Karsten’s table isn’t guesswork or “it feels right.” It comes from the hypergeometric distribution — the probability of drawing specific cards from a finite deck without replacement. If you have S sources of blue in a 60-card deck and you’ve seen n cards (hand + draws), the chance of having at least k blue sources is a straightforward combinatorial calculation. We have a calculator for that too.

But raw hypergeometric math doesn’t account for mulligans. Karsten goes a step further and simulates actual mulligan decisions — shipping hands with 0, 1, 6, or 7 lands the way real players do. That’s what makes his numbers more accurate than pure math alone: they reflect how the game is actually played, including the London Mulligan rule.

Splashing? You Don’t Need Full Sources

Here’s something a lot of players miss: not every color in your deck needs the full Karsten treatment. If you’re base white-blue and splashing red for a single Fable, you don’t need 12 red sources. You need maybe 7 or 8.

A splash color — less than about 12% of your colored pips — only needs around 70% of the full Karsten target. A secondary color (12–40% of pips) needs about 85%. That’s how three-color decks carve out room for utility lands and avoid playing 30 duals with no basics.

Mistakes That Cost Games

  1. Treating tapped lands as untapped. Your Dismal Backwater doesn’t cast Counterspell on turn 2. Karsten’s numbers assume untapped sources for on-curve plays. Tapped lands are fine for later turns, but don’t kid yourself about early-game consistency.
  2. Underestimating double-pip costs. You’ve got 12 white sources and figure that’s enough for white cards. For Thalia? Sure. For Wrath of God at 2WW? You need 16. The jump from C to CC is 8 additional sources. That gap is where mana bases fall apart.
  3. Cutting 3 lands “because I added draw.” Each cantrip is worth 0.28 lands. Three cantrips save you less than one land. You’d need 10+ to justify cutting 3 lands. People do this all the time and wonder why they mull to five.
  4. Loading up on colorless utility lands. If you’ve got 24 lands but 6 are colorless (Field of Ruin, Mutavault, etc.), you only have 18 colored sources. That’s often not enough for double-pip cards. Utility lands are great — until they cost you the game by not making the right mana.
  5. Forgetting that fetches count double. Scalding Tarn finding Steam Vents counts as a blue source and a red source. Fetches are the strongest mana fixers in the game because they multiply your effective colored source count. Factor them in.

Run the Numbers

If you don’t want to do this by hand, the Mana Base Calculator does everything above automatically. Import a decklist or punch in your colors and curve. It runs Karsten’s formula, figures out your colored source targets with splash detection, suggests specific dual land cycles for your budget, and runs Monte Carlo sims to validate cast rates. Works for any format, any deck size from 40 to 100.

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