The Цветные шары draw sums deviate from Benford's law: χ² = 268.5 against a threshold of 15.5 (sample: 20). Most often the sum begins with the digit 8 — 85%.Data includes draw #16503 of 30.07.2026.
Important: Benford's law describes numbers that span several orders of magnitude — from units to thousands and beyond. Lottery draw sums sit in a narrow band, so their deviation from Benford is expected and is NOT a sign of a rigged draw. This checks the shape of the distribution, not the honesty of the lottery.
Benford's law (the first-digit law): in “natural” multi-order data the digit 1 comes first about 30% of the time, while 9 does so only 4.6%, per the formula:
P(d) = log₁₀(1 + 1/d)
Where to next
Total draw sum
The distribution and range of Цветные шары sums — the very numbers whose first digits Benford examines.
OpenRuns test
Whether Цветные шары has non-random streaks and droughts — another view of randomness.
OpenShannon entropy
How evenly Цветные шары numbers are spread — a measure of unpredictability.
OpenPearson's χ² test
A χ² check of Цветные шары drum bias by the frequency of each ball.
OpenFrequently asked questions about Цветные шары
What is Benford's law?
Benford's law (the first-digit law) is the observation that in datasets spanning many orders of magnitude the leading digits are distributed unevenly: 1 appears about 30% of the time, while 9 only 4.6%. Formula: P(d) = log₁₀(1 + 1/d).
Why do Цветные шары draw sums deviate from Benford's law?
Because the law works for data spanning several orders of magnitude — units, tens, hundreds, thousands. The Цветные шары ball sums sit in a narrow band around the mean, so the first digit is set by that range, not by Benford. The deviation here is a normal consequence of lottery maths, not an anomaly.
Does matching Benford prove Цветные шары is honest?
No. Because of the narrow range of sums, the Benford test is weakly informative for a lottery: both a match and a deviation are possible for a perfectly fair draw. To check drum uniformity, Pearson's χ² on ball frequency and the runs test are more reliable.
What does the χ² test mean on this page?
χ² compares the observed distribution of first digits with the one expected under Benford. A value below the critical 15.5 (df=8, α=0.05) means the shape is close to Benford; above it, they diverge. This describes the shape, not a verdict on the lottery's honesty.
Can Benford's law predict Цветные шары numbers?
No. Benford's law is a tool for describing the distribution of first digits, not a forecast. It says nothing about which specific numbers will come up in the next Цветные шары draw.