The risk of losing it all
In brief
With 6 dice, a roll scores nothing 2.3% of the time. With just one die, it scores nothing 66.7% of the time. Each die set aside therefore makes the next roll riskier, while the turn's points keep adding up.
Chance of busting
For each number of dice, the app's engine rolled every possible outcome (taking dice order into account) and counted those where no die scores. The last column is the percentage the app displays during play, rounded to the nearest whole number.
| Dice rolled again | Possible rolls | Busting rolls | Chance | Displayed by the app |
|---|---|---|---|---|
| 6 | 46 656 | 1 080 | 2,3 % | 2 % |
| 5 | 7 776 | 600 | 7,7 % | 8 % |
| 4 | 1 296 | 204 | 15,7 % | 16 % |
| 3 | 216 | 60 | 27,8 % | 28 % |
| 2 | 36 | 16 | 44,4 % | 44 % |
| 1 | 6 | 4 | 66,7 % | 67 % |
With 6 dice, busting requires no 1, no 5, no three of a kind, no straight and no three pairs: just 1 080 rolls out of 46 656.
The app's warning
Once you have set dice aside, the app's advice bar displays the number of dice that will remain to roll again and this risk, for example: “Warning: 4 dice remaining, risk of busting = 16%”. These percentages are stored in the app; the site verifies that they match the counts above.
What a first roll is worth
Across the 46 656 possible rolls of 6 dice, here is the highest score you can set aside on the first roll, using the app's scoring system:
| Highest score for the roll | Rolls |
|---|---|
| no points | 1 080 |
| less than 500 | 31 440 |
| 500 to 999 | 6 640 |
| 1 000 to 1 499 | 4 300 |
| 1 500 to 1 999 | 2 290 |
| 2 000 to 2 499 | 180 |
| 2 500 to 2 999 | 720 |
| 3 000 | 6 |
Bank or roll again? It depends on your position
There is no single right answer: it all depends on the points already earned during the turn, the number of dice remaining and the gap between you and the other players. The app's computer follows a simple rule: it banks as soon as it has 300 points for the turn when leading, a little later when behind, earlier when it has only one or two dice left, and always if it reaches the target. On its final turn (“Final round!”), it banks as soon as it has 500 points, even if it is still behind.