Bernoulli Formula - Number Selection Method
The Bernoulli formula is a classic mathematical method for calculating the probability of success in trials with two possible outcomes. In the context of Топ 12, this formula calculates the theoretical probability of a specific number appearing in a future draw based on past drawing statistics.
The main advantage of the Bernoulli method is its scientific validity and effectiveness in long-term application. Unlike intuitive methods, this approach is based on rigorous probability theory, developed by Swiss mathematician Jacob Bernoulli in the late 17th century.
Based on the last 20 draws for Топ 12 lottery, the numbers with the highest Bernoulli probability: 2 (5.73), 5 (5.73), 9 (5.73), 12 (5.73), 20 (5.73), 23 (5.73), 1 (5.21), 3 (5.21), 7 (5.21), 10 (5.21), 14 (5.21), 15 (5.21). Full table is shown below.
How to Use the Bernoulli Formula
Choose the optimal analysis period
Determine the number of draws for analysis (at least 30-50 draws recommended). Too short a period won't yield reliable results, while too long a period may include outdated data that no longer reflects current trends.
Study probability coefficients
Pay attention to numbers with the highest probability coefficients. These numbers have mathematically grounded chances of appearing in the next draw according to the Bernoulli formula.
Build optimal combinations
Use the built-in generator to create combinations from selected numbers. It is recommended to include numbers with varying coefficients for balance.
Regularly update your analysis
Update the analysis after each new draw, as probabilities change. Applying the Bernoulli method yields better results over the long term.
Mathematical Foundation of the Bernoulli Method
The Bernoulli formula describes the probability of obtaining exactly k successes in n independent trials, where the probability of success in each trial equals p. In the lottery context, this can be interpreted as the probability of a specific number appearing k times in n draws.
Mathematically, the formula is: P(X = k) = C(n,k) * p^k * (1-p)^(n-k), where:
- P(X = k) — the probability of obtaining exactly k successes
- C(n,k) — the number of combinations of n items taken k at a time (binomial coefficient)
- p — the probability of success in a single trial
- n — the total number of trials (draws)
Advantages of Using the Bernoulli Formula
Mathematical Precision
The analysis is based on rigorous mathematical probability theory, not on superstitions or gut feelings
Historical Data Analysis
The method analyzes real draw statistics, revealing patterns that cannot be detected through ordinary results viewing