Dice Probability Calculator with Rerolls
Dice Probability Calculator with Rerolls
Game Type
Dice Configuration
Table Setup
Game Components
Player Configuration
Adjustment Factor
Presets
Game Component Reference
Standard 52-Card Deck
52Pieces
3.5x2.5"Dimensions
1-10Players
30-120mAvg Time
Double Deck (104)
104Pieces
3.5x2.5"Dimensions
2-10Players
45-180mAvg Time
Uno Deck
108Pieces
3.5x2.5"Dimensions
2-10Players
30-60mAvg Time
Chess Set
32Pieces
15x15"Dimensions
2Players
20-120mAvg Time
Poker Chip Set
300Pieces
20x10x2"Dimensions
2-10Players
60-180mAvg Time
Dice Set (7 poly)
7Pieces
1x1x0.5"Dimensions
1-8Players
30-180mAvg Time
Monopoly Set
140Pieces
20x10x1.5"Dimensions
2-8Players
60-180mAvg Time
Catan Set
128Pieces
12x9x3"Dimensions
3-4Players
60-120mAvg Time
Game Table Dimensions
| Game Type | Recommended Size | Surface Area | Rail Height | Player Capacity |
|---|---|---|---|---|
| Craps | 12 x 4 ft | 48 sq ft | 12 in | 12-20 |
| Yahtzee | 3 x 3 ft | 9 sq ft | 0 in | 2-8 |
| D&D / RPG | 4 x 4 ft | 16 sq ft | 0 in | 3-8 |
| Farkle | 2 x 2 ft | 4 sq ft | 2 in | 2-8 |
| Bunco | 3 x 3 ft | 9 sq ft | 0 in | 12+ |
| Liars Dice | 2 x 2 ft | 4 sq ft | 2 in | 2-6 |
| Catan | 3 x 3 ft | 9 sq ft | 0 in | 3-4 |
| Risk | 3 x 3 ft | 9 sq ft | 0 in | 2-6 |
Standard Component Counts
| Game | Deck/Piece Count | Accessories Needed | Storage Size |
|---|---|---|---|
| Craps | 5 dice | Dice cup, felt layout | 8 x 4 x 2 in |
| Yahtzee | 5 dice | Score pad, shaker cup | 10 x 6 x 2 in |
| D&D | 7 poly dice | Character sheets | 6 x 4 x 1 in |
| Farkle | 6 dice | Score pad, dice cup | 8 x 4 x 2 in |
Common Setup Configurations
| Players | Table Size | Dice Count | Est. Duration |
|---|---|---|---|
| 2 | 2 x 2 ft | 5-6 | 15-30 min |
| 3-4 | 3 x 3 ft | 5-10 | 30-60 min |
| 5-6 | 3 x 4 ft | 10-15 | 45-90 min |
| 7-8 | 4 x 4 ft | 15-20 | 60-120 min |
Tip:
Allow 24 inches of table edge per player for comfortable seating and dice rolling space at any game table.
Tip:
Standard poker table is 84 inches for 8 players. For dice games, a felt surface reduces bounce and keeps dice on the table.
Find the right probabilities for dice rolls are easy cause with a calculator for dice. They count various possibilities for set of dice. Players commonly must decide whether reroll when they play.
Good strategy is made up of that you never reroll cubes with same face. For instance, if you intend 5 or 6 and roll 4, 5 or 6, stay at that. Each from those has probability of 1/6.
When to Reroll Dice and How to Count the Odds
But if come 1, 2 or 3 (that is entirely 1/2), then reroll. The expecting profits of reroll are 3.5.
For individual dice the simplest way estimate reroll are know the probabilities of failure. For find this, multiply the probabilities of failure together. For instance, if are 10% risk fail, reroll lowers it to 1%.
Do that by means of convert the percentages to decimal and square. So 35% failed chance squared give 12.25%. From that you can estimate the success chance.
With d20-dice the numbers are clear, because the biggest numbers have only four figures.
In some games, as the pool d10-system in World of Darkness, you rolls several d10s. For n-sided die with values x1 until xn and reroll on xn the math give precise average. It differs to that without reroll.
Are almost like as normal roll of d6, only substitute the 1 by means of 3.5. Here happen that 1/6 from the time come 1, and reroll value is 3.5.
Reroll mechanics alter the feeling of game. Some games have advantage or disadvantage: you rolls several cubes and choose the best or worst. Others use hero points either bennies for limited rerolls either modifies.
If player has until N rolls, included the first and N-1 rerolls, the failed probability is (1, p)N, where p are success chance. If you rolls 4D6 and want probabilities of successes, it changes: reroll the whole set once, or choose wich dice reroll.
