Bac Bo fairness check
Across 241,681 recorded rounds, Bac Bo is not consistent with fair dice at our threshold, after correcting for all 177 checks on this monitor: both dice of a side the same 16.95% against 16.67%.
All recorded rounds, judged together with every other check on the monitor.
| Check | Measured (95% range) | Stated | Rounds | Status |
|---|---|---|---|---|
| Faces of all four dice966,724 dice, six faces | p below 0.0001 | Fair dice | 241,681 | Not consistent |
| Both dice of a side the sameShare of all sides; fair: 1 in 6 | 16.95% (16.85 to 17.06) | 16.67% | 483,362 | Not consistent |
| Player winsFair dice: 44.37% | 44.01% (43.81 to 44.21) | 44.37% | 241,681 | Borderline |
| Banker winsFair dice: 44.37% | 44.62% (44.42 to 44.82) | 44.37% | 241,681 | Consistent |
| TieFair dice: 146 in 1,296 | 11.37% (11.25 to 11.50) | 11.27% | 241,681 | Consistent |
How we calculate this
Every figure is compared with what fair dice give: how often three of a kind lands, how often each face shows, and, where the game has them, what the even-money bets return. Each check has a 95% range and is judged with every other check on the monitor by the same rules.
Every check gets a two-sided p-value. Because 177 checks run on this monitor at once, the p-values are corrected with the Holm method before a result counts as not consistent (corrected p below 0.01). A result with an uncorrected p below 0.01 is shown as borderline. These thresholds are set in advance and are the same for every game. Full method.
Two dice for Player and two for Banker; the higher total wins. With fair dice each face lands on 1 die in 6, a side rolls a pair 1 time in 6, a tie happens 146 times in 1,296 (11.27%) and Player and Banker each win 44.37%.