🧪 Are lottery draws really random?

We tested 21 lotteries with up to 11 statistical tests each – 229 tests in total. 7 results fall below the 5% threshold; pure chance would produce about 11. After correcting for multiple testing per lottery, 0 remain.

LotteryDrawsFreq.BonusMonthDayTimeSumE/OConsec.RepeatsPairsGaps
Eurojackpot9950.900.270.930.980.670.330.0630.630.740.0790.36
LOTTO 6aus491,4050.490.530.0650.300.130.0650.650.370.770.750.71
EuroMillions1,9900.180.170.220.640.140.0960.310.620.680.380.89
Loto1,0880.750.940.510.710.510.220.630.160.720.160.73
EuroDreams3080.270.720.0210.730.130.640.190.140.210.510.46
Lotto 6/494,4600.500.490.580.250.310.230.540.520.990.810.099
Lotto Max *540.680.740.290.800.950.650.840.350.220.770.87
Québec 493,0320.630.590.380.430.0220.920.450.960.970.630.65
TOTO1,2330.800.480.300.570.630.500.200.0560.400.870.12
Lotto Belgique1,5710.0840.110.0460.200.210.930.140.320.840.420.34
Lotto 6 aus 453,6940.0250.610.0620.370.550.850.740.800.710.380.97
Swiss Lotto1,4370.420.960.180.610.830.330.130.420.990.440.40
Korea Lotto 6/451,2460.890.700.85–0.410.330.290.430.290.610.34
UK Lotto1,1510.830.700.360.920.770.210.150.920.110.690.57
Thunderball3,0290.930.230.950.290.700.170.0420.660.880.280.57
Set For Life6930.850.260.890.480.690.950.670.210.380.0790.46
SA Lotto *400.920.370.890.950.700.280.150.110.690.630.93
Lotto Plus 1 *400.440.470.350.290.700.780.630.330.711.000.44
SA PowerBall8690.230.0530.0090.150.460.990.440.990.400.650.059
PowerBall XTRA8690.790.0060.270.490.770.870.370.510.240.750.57
Daily Lotto2,7730.75–0.750.590.510.160.870.190.420.730.44

Green: normal (p ≥ 5%) · Yellow: p < 5%, not significant after correction · Red: significant even after correction · –: test not applicable.
* fewer than 300 draws in the current format: tests still have little power.

How to read the table

The p-value is the probability of a result at least this extreme under pure chance. Below 5%, a single test is usually called “significant”. Because 11 tests run at once, about 0.55 such hits are expected by chance alone; the Holm correction accounts for that. Only a result still below 5% after correction would be a serious hint.

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