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Deck Probability in Card Games: Drawing the Cards You Need
How to work out the chance of drawing the cards you need from a deck, using counting, the hypergeometric idea and a few worked examples with real numbers.
Cards, Dice and Boards
Collectible and Deck Building Games
Deck odds, draws and card pool math.
Card Advantage and Tempo as Quantifiable Ideas
Card advantage and tempo explained with simple counting: how to track net cards, why trades are not always equal, and where the numbers stop being useful.
Consistency Versus Power in Deck Construction
Why a deck of strong but fragile cards can lose to a modest but reliable one, with draw-odds examples for weighing consistency against raw power.
How Many Lands or Resource Cards Does a Deck Need
How to use draw probability to balance resource cards and spells in a deck, with worked numbers for 40-card and 60-card lists and the limits of any rule of thumb.
Hypergeometric Distribution for Deck Builders
A practical explanation of the hypergeometric formula for drawing without replacement, with step-by-step card examples and a comparison against the binomial shortcut.
Mulligans and the Math of Opening Hands
How to judge whether to keep or redraw a starting hand using conditional probability, with worked examples for a 40-card deck and the limits of any simple rule.
Pack Opening Odds and Rarity Tiers
How published rarity rates translate into what you can expect from booster packs, with worked examples for any-rare and specific-card chances and why averages mislead.
Shuffling Randomness: How Many Shuffles Are Enough
A plain summary of what research on riffle shuffles says about mixing a 52-card deck, why seven is the famous number, and what that means for real card games.
Sideboards and Metagame Choices in Card Games
How the popularity of strategies shapes deck and sideboard choices, with a simple weighted-matchup calculation and a look at why metagames shift over time.
The Collectors Problem: How Many Packs to Finish a Set
How the coupon collector model estimates the number of random draws needed to complete a set, with worked numbers for sets of 10, 100 and 200 cards.
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