Skip to content

Advertisement
Advertisement unavailable offline
The page content remains available.

Guides

Why the “best lottery-picking method” always finds something

· Updated:

Illustration about random lottery results and testing number-picking methods

Where do “miracle” number-picking systems come from?

A ranking of the most frequent numbers, a picking app or a method based on recent draws can look convincing. Find a rule that fits the past and point to a few hits, and it is easy to tell a success story. The problem starts when many ideas are tested but only the best one is presented. Among hundreds or thousands of variants, one will almost always look unusually good by chance — even when the data are completely random.

That is not proof that a lottery-picking method can predict a result. It is the effect of multiple testing, also called data dredging or overfitting. A fair assessment requires checking the method on draws that were not used to invent, tune or select the rule. This article shows how different a historical fit can be from performance on new data.

The basic principle is simple: every draw is independent. Past frequencies describe a chosen period; by themselves, they do not change the probability for a number in the next draw. It is important to separate a description of the data from a forecast — especially when a system is advertised as “proven”.

Advertisement
Advertisement unavailable offline
The page content remains available.

How do we calculate the odds in Multi Multi and Keno?

In Multi Multi and Keno, 20 numbers are drawn from a pool of 80. To count possible selections, we use the binomial coefficient. It gives the number of ways to choose k items from n when order does not matter:

If a player selects m numbers and wants the probability of getting exactly k hits, the appropriate model is the hypergeometric distribution. The draw is made without replacement: each number drawn changes the pool from which the remaining numbers are selected. The formula counts the ways to hit k of the selected numbers and miss the rest:

For one specified number, the reference calculation is simpler. Since 20 numbers are drawn from 80, the baseline chance of that number being drawn is 25%:

With m selected numbers, the expected number of hits is m/4. This is a theoretical average over many repetitions, not a promise about one ticket. The formulas help set expectations; they do not identify numbers to play:

The experiment: 8,000 methods on random data

The experiment generated 3,000 completely random Multi Multi draws on a computer, with 20 numbers out of 80 in each draw. No pattern was planted in the data. Rankings were then built by counting how often each number appeared in the last R draws, with R ranging from 1 to 100. For each ranking, the test checked how often the number at position P was drawn. The combinations of R and P produced 8,000 methods in total.

Each variant was first evaluated on a test window of 100 draws. The best methods hit 42%, while the top 100 averaged 36.5%. That is clearly above the 25% baseline for one number — but this was the very sample used to search for and select the winners.

The same methods were then checked on the next 100 draws, the out-of-sample control window. Their average result fell to 26.4%. The drop from 36.5% to 26.4% brought the result close to the 25% chance baseline. The apparently strong ranking did not carry over to new data.

Why does the best method look great on historical data?

If we test one variant, random fluctuation can put its result above or below the average. If we test 8,000 variants, the chance increases that one will fit an unusually favourable slice of the sample. Later showing only that method hides the fact that it won among many competitors. Selection based on a result is not independent confirmation that the method works.

The expected number of false winners can be written as the number of tested methods M multiplied by the false-alarm probability α for one test:

In this experiment, M is 8,000. Even if each variant has only a small chance of a random success, multiplying it by so many trials can produce many results that look impressive. That is why a method should be presented with the number of variants tested and an explanation of how the displayed version was chosen. The same applies to rankings of the most frequent numbers and programs that automatically test many settings.

Negative and positive controls: how can a method be tested fairly?

Negative control: does the method see a signal where none exists?

A negative control uses completely random data with no planted pattern. A sound procedure should not present a result found there as proof of predictability. If it nevertheless reports apparent success, the control measures its tendency to produce false alarms — not an edge over randomness.

Positive control: can the method recover a known pattern?

For a positive control, a known, weak pattern is inserted into the data and the method is checked to see whether it can recover it. If it cannot detect a pattern we deliberately put there, we have no reason to trust it to find a subtle effect in real results. If it does detect the pattern, that still does not prove an advantage in the game; it only shows that the method can recover that particular signal in the prepared sample.

The two controls answer different questions. A negative control checks how often a procedure “discovers” something in chance alone. A positive control checks whether it can find an effect that is known to exist. The next step is a test on data set aside in advance and not used to design, tune or select the method.

What does this mean for a player?

A historical result can be interesting, but we need to know how it was obtained. Was one idea tested or thousands? Were all attempts shown, or only the winning variant? Was the method checked on subsequent draws? Without those answers, a chance fit is easy to mistake for a rule. That is why the question “do lottery systems work?” should be broken into verifiable parts instead of answered with a ranking alone.

The most frequent numbers describe what happened during a selected period. This does not mean those numbers are more likely to appear in the next draw. A method based on a short window can also select numbers that happened to form a streak, with no evidence that the streak will continue.

To check probabilities for yourself, use the <a href="/en/calculators">Multi Multi and Keno odds calculators</a>. The <a href="/en/probability-academy">Probability Academy</a> explains the basic concepts, while <a href="/en/lotto/statistics/frequency">number-frequency statistics</a> can help describe past draws — not predict the next ones.

Summary: test outside the sample used to choose the method

Searching many variants makes it almost inevitable that we will find something that looks good on historical data. In this experiment, the top 100 of 8,000 methods averaged 36.5% in the test window, but 26.4% on the next 100 draws — close to the 25% baseline. The data were random and contained no planted pattern.

That is the difference between a fit and confirmation on new data. Statistics can help us understand odds and test our intuitions, but they do not remove lottery randomness. No historical result or searched ranking changes the independence of the next draw.

Tags: lottery-picking method lottery randomness Multi Multi statistics most frequent numbers multiple testing

Sources:

Advertisement
Advertisement unavailable offline
The page content remains available.
Offline app and draw notifications

My saved selections

Selections saved only in this browser. Numbers are shown exactly as saved; this is not a lottery ticket.

Open the My saved selections hub
Restore with preview

Restore in the hub: review the file and confirm first. Both old backups and the complete selections + journal backup are supported. Nothing is uploaded.