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A Guide to Dice Probability in Tabletop Games
How single dice, sums, pools and extra rolls turn into odds in tabletop and board games, with small worked examples you can check by hand.
Game Deep Dives
Dice and Board Games
Odds behind dice rolls, board game mechanics and tabletop design.
Board Game Movement Rules and the Odds of Landing on a Square
How often does a piece land on a given square in a roll-and-move game? Worked examples with one die and two dice show why the answer is not simply 1 in 6.
Catch-Up Mechanics and the Role of Luck in Board Games
Why early lucky breaks can decide a board game, and how rubber-banding and other catch-up rules soften that snowball effect without removing chance.
Dice Pools Versus Single Rolls in Game Design
Compare counting successes across a handful of dice with one roll against a target, including spread, reliability and how each feels at the table.
Exploding Dice and Open-Ended Rolls Explained
How re-rolling on a maximum result works, what it does to averages and rare high totals, and why exploding dice create long tails in the outcomes.
How Fair Are Your Dice? A Simple Home Test
A practical way to check a die for bias: roll it many times, tally the faces and compare the counts with what a fair die would give using a simple statistic.
Monopoly Square Frequencies: Where Players Land Most
Why some Monopoly squares are visited more than others over many turns: two-dice sums, the jail rules and card moves all pull visits away from an even spread.
Rolling Advantage and Disadvantage: What Two Dice Do to Your Odds
What happens to success chances when you take the better or worse of two rolls, with exact figures for a twenty-sided die and a look at the average shift.
Spinners, Cards or Dice: Choosing a Randomizer for a Game
Compare dice, spinners and card decks as randomizers by outcome spread, memory and feel, so designers can match the tool to the experience they want.
Why Seven Is the Most Common Roll of Two Dice
List all 36 combinations of two six-sided dice to see why a total of seven comes up most often and why sums near seven are more likely than the extremes.
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