The numbers

Is it random?

The standard tests, and what they say about these draws.

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For important limitations, see the Disclaimer.

How to read this page. A fair lottery should pass these tests — that is the expected result. If one does flag something, likely reasons include sample size, an uneven number of draws per lottery, or how the source documents were read.

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Are the digits evenly spread?

Checks whether digits 0–9 appear about equally often. A p-value of 0.05 or above is consistent with chance.

Statistic
59.243
p-value
0.0000
Critical value (0.05)
16.919
Sample
301,971

The observed distribution differs from a perfectly even spread.

The same test, position by position

Position Statistic p-value Sample Looks like chance?
Position 1 from the right 119.734 0.0000 74,071 Deviates (p < 0.05)
Position 2 from the right 129.629 0.0000 74,071 Deviates (p < 0.05)
Position 3 from the right 135.096 0.0000 74,071 Deviates (p < 0.05)
Position 4 from the right 50.659 0.0000 74,071 Deviates (p < 0.05)
Position 5 from the right 94.144 0.0000 2,844 Deviates (p < 0.05)
Position 6 from the right 744.278 0.0000 2,843 Deviates (p < 0.05)

How much variety is there?

Measures how evenly the digits are spread. 1.0 is perfectly even.

Entropy (bits)
3.3218
Normalised
1.0000

Entropy summarises how evenly digits are spread. A value near 1 is close to even.

Do odd and even alternate the way chance predicts?

Checks whether the last digit alternates between odd and even as often as independent draws would.

Runs
9,787
Expected by chance
10,000.8
p-value
0.0025

The alternation differs from the usual random range. Review the ordering and sample size alongside it.

Does one draw hint at the next?

Checks whether one draw’s last digit carries information about the next. In a fair lottery it should not.

The relationship falls outside the usual range. Review the sample size and ordering alongside it.

Gap Correlation Outside the expected band?
1 0.01423 Yes
2 0.01535 Yes
3 0.03070 Yes
4 0.02671 Yes
5 0.01866 Yes
6 0.00138 No
7 0.00869 No
8 0.00803 No
9 0.01204 No
10 0.00071 No

Based on 20,000 ordered observations. Even random data puts roughly 1 lag in 20 outside the expected band.