Bingo loto Karnauh-Methode — Optimale Ziehungszahlen
Die Karnauh-Methode für die Lotterie Bingo loto basiert auf der Bernoulli-Markow-Theorie. Für jede Kugel wird berechnet, nach wie vielen Ziehungen ein erneutes Erscheinen am wahrscheinlichsten ist.
Die Methode vergleicht die aktuelle Tiefe jeder Kugel mit ihrer berechneten «optimalen Ziehungszahl». Kugeln, deren Tiefe den Optimalwert überschritten hat, gelten als vielversprechende Kandidaten.
Based on the last 20 draws for Bingo loto lottery using the Karnauh method: 29 numbers are ready to appear (N≤0): 71 (N=-7.14), 52 (N=-6.4), 11 (N=-5.67), 70 (N=-5.12), 9 (N=-4.86). Full table is shown below. Ziehungen zwischen Treffern →HarCho-Methode →
Understanding N Values in Karnauh's Method
Ready to appear
The number may appear in the very next draw. These are the most promising candidates for inclusion in playing combinations.
Future draws
The number is expected to appear in N draws. For example, N=2 means the number should appear in 2 draws from now.
Delayed numbers
The number is overdue and should have already appeared N draws ago. It is likely to appear soon.
Strategy for Successful Application of Karnauh's Method for Bingo loto
Choose the optimal analysis period
P.V. Karnauh himself recommended using at least 33 draws for analysis. However, the optimal period may differ for each lottery. Experiment with periods from 30 to 100 draws.
Focus on critical values
Prioritize numbers with N <= 0 and N = 0.
Balance your combinations
Don't include only numbers with N<0 in one combination. Mix them with N=0 numbers for balanced combinations.
Regularly update your analysis
Recalculate N values after each new draw. The Karnauh method requires up-to-date data.
Scientific Basis of P.V. Karnauh's Method
P.V. Karnauh's method is based on a synthesis of two fundamental mathematical theories: Bernoulli's scheme for calculating success probability in repeated trials and A. Markov's theorem on the most probable number of successes.
The key formula: N = ((m + 2) * (n + 1) / (m + 1)) - 1 - k, where:
- m — frequency of a number's appearance in the analyzed period
- n — number of draws since the last appearance
- k — total number of analyzed draws
- N — predicted draw number for appearance
This formula accounts for not only the statistical frequency of each number's appearance, but also the time intervals between appearances.