Game & Board Game
Elo Rating Calculator
New Elo ratings after a game, with expected score and rating change for both players.
New = old + K × (score − expected)
Also called elo rating change · chess rating calculator
Sports · 9 calculators
Game & Board Game Calculators
Elo rating changes, win rates, dice and card probabilities, expected value, tournament points and round robins.
Game & Board Game
Winning Percentage Calculator
Win percentage from wins, losses and ties, using both the standard and ties-count-half methods.
Win % = (wins + ties ÷ 2) ÷ games played …
Also called win percentage · win loss percentage
Game & Board Game
Team Average Calculator
Team average score, highest and lowest game, and consistency across a list of results.
Average = total points ÷ games
Also called average score calculator · team scoring average
Game & Board Game
Tournament Points Calculator
League or tournament points from wins, draws and losses with your own points system.
Points = W × win pts + D × draw pts + L ×…
Also called league points calculator · competition points
Game & Board Game
Dice Probability Calculator
Probability of rolling an exact sum, at least or at most a total with any number of dice and sides (d6, d20…).
P = favourable outcomes / sidesⁿ
Also called dice roll probability · dice odds
Game & Board Game
Card Probability Calculator
Hypergeometric probability of drawing k target cards in a hand — for poker, Magic, bridge or any deck.
P(X = k) = C(K, k)·C(N − K, n − k) / C(N,…
Also called hypergeometric calculator · deck draw probability
Game & Board Game
Expected Value Calculator
Expected value, variance and standard deviation of a discrete random variable from outcomes and probabilities.
E[X] = Σ xᵢ·pᵢ
Also called ev calculator · mean of random variable
Game & Board Game
Round Robin Calculator
Number of matches, rounds and matches per round for a round-robin tournament of any size.
Matches = n(n − 1) ÷ 2 (× 2 for home and …
Also called round robin schedule · how many games round robin
Game & Board Game
Score Difference Calculator
Point or goal difference between two teams, the margin per game and the average margin over a season.
Difference = points for − points against
Also called point differential · margin of victory
Key game & board game formulas
| Elo Rating | New = old + K × (score − expected) · expected = 1 / (1 + 10^((Rb − Ra)/400)) |
|---|---|
| Winning Percentage | Win % = (wins + ties ÷ 2) ÷ games played × 100 |
| Team Average | Average = total points ÷ games |
| Tournament Points | Points = W × win pts + D × draw pts + L × loss pts + bonus |
| Dice Probability | P = favourable outcomes / sidesⁿ |
| Card Probability | P(X = k) = C(K, k)·C(N − K, n − k) / C(N, n) |
| Expected Value | E[X] = Σ xᵢ·pᵢ |
| Round Robin | Matches = n(n − 1) ÷ 2 (× 2 for home and away) |
| Score Difference | Difference = points for − points against |