FrequencyRank, version 4.1
Greatly upgraded software for strategies, systems based on skips, decades, last digits, frequency groups ~ version 5.0, May 2016:
Let's create here a lotto strategy that is going to be pirated big-time! It happened to those eBay pick-3 lottery systems that were blunt examples of plagiarism of my theories. To their credit, eBay fixed the problem after I filed a copyright infringement complaint. Read how users of my software came across the piracy acts while bidding on eBay:
I take as an example a lotto 6/49 game. We divide the lotto numbers in three frequency categories as follows:
1) Group 1, the most frequent: 1/8 (12.5%) of all numbers = 6 lotto numbers;
2) Group 2: 37.5% of all numbers = 18 lotto numbers;
3) Group 3, the least frequent: 50% of all numbers = 25 lotto numbers.
The division has a good foundation: Fewer numbers with higher frequency lead to better playing efficiency. Here is an example that shows favoritism towards the groups with the most frequent numbers. The game is pick-4 played in Pennsylvania Lottery.
Pick-4 Frequencies Report (Sorted by Number of Combinations) Drawings Analyzed: 1000 ~ Parpaluck: 10 The numbers in each column show how many digits from the frequency group came out in the corresponding drawing; e.g. 2 in the 1st col and 3 in 2nd col: 2 of the digits in the draw came from group 1 (hot); 2 digits were from the 2nd group; etc. Line Draw Group #1 Group #2 Group #3 Total no ings 2 digits 3 digits 5 digits combos 121 0354 1 3 0 216 338 2562 1 3 0 216 375 6090 2 2 0 216 ... 192 9813 2 2 0 216 447 4041 1 3 0 216 55 5099 2 2 0 216 723 3441 1 3 0 216 ...
We have two distinct frequency groups (1-3-0 and 2-2-0), both generating the same amount of pick-4 straight sets: 216. But the group with more digits in the most frequent group (2-2-0) registered 24 hits. The group with only one digit in the primary frequency group (1-3-0) recorded only 16 hits. The 2-2-0 configuration shows a 50% advantage.
A few graphics (easily replicated by data in Pennsylvania Lottery)
Frequency of the Skip-4 Lottery Strategy in 1000 Draws HITS: 25 Skips: 1 28 79 29 4 101 1 45 1 16 30 25 5 19 32 14 52 20 63 132 120 79 6 5 49 Sorted Skips: 1 1 1 4 5 5 6 14 16 19 20 25 28 29 30 32 45 49 52 63 79 79 101 120 132 Median Skip: 28 ... * The pivot of the strategy: Skip-4 Strategy Frequency Layer 1 File: FR4.1; Date: 05-29-2016 The numbers in each column show how many digits from the frequency group came out in the corresponding drawing; e.g. 2 in the 1st col and 3 in 2nd col: 2 of the digits in the draw came from group 1 (hot); 2 digits were from the 2nd group; etc. Line Draw Group #1 Group #2 Group #3 Total no ings 2 digits 3 digits 5 digits combos 2 9535 2+ 2 0- 216 31 7997 2+ 2- 0- 216 ... * LIE elimination rule obeyed: The settings from the very previous draw were not repeated. Just a few examples: Pick-4 Decades Report by Draw File: D4; Date: 05-29-2016 Draws Analyzed: 1000 The numbers in each column show how many digits from the decade listed in the header came out in the corresponding drawing; e.g. 1 in the 1st col and 2 in 2nd col: 1 of the digits in the draw was from 0 to 2; 2 digits were from the decade 3 to 6; etc. Line Draw Dec Dec Dec Total no ings 0-2 3-6 7-9 combos 2 9535 0- 3 1+ 768 3 6054 1 3+ 0- 768 ... 31 7997 0- 0- 4+ 81 32 1445 1 3+ 0- 768 Pick-4 Skipping Report by Draw File: D4; Date: 05-29-2016 Line Draw Any Any Any Any POT Pos Pos Pos Pos COL no. ings 1 2 3 4 1 2 3 4 Med. 1 1 1 1 4 6 6 6 7 17 Avg. 2 2 2 2 4 9 9 9 9 19 StDv. 3 3 3 3 3 10 10 10 9 11 2 9535 2- 0- 2+ 0- 2- 32+ 1- 19+ 3- 32+ 3 6054 7+ 3+ 0- 1 7+ 9- 8- 0- 17+ 17- ... 31 7997 1+ 2- 2- 1+ 2- 28+ 7- 2- 10- 28- 32 1445 0- 5+ 5+ 0 5+ 1- 25+ 35+ 17+ 35+ Pick-4 Low/High, Odd/Even Report File: D4; Date: 05-29-2016 Draws Analyzed: 2000 Line Draw L/H L/H L/H L/H O/E O/E O/E O/E no ings 1 2 3 4 1 2 3 4 1 means LOW = 0 to 4 1 means ODD = 1 3 5 7 9 2 means HIGH = 5 to 9 2 means EVEN = 0 2 4 6 8 2 9535 2 2 1 2 1 1 1 1 3 6054 2 1 2 1 2 2 1 2 ... 31 7997 2 2 2 2 1 1 1 1 32 1445 1 1 1 2 1 2 2 1 * Data with reports from other LotWon applications is even more strongly misaligned — the bread-and-butter of LIE elimination lottery strategies.
The 6 winning numbers in a lotto draw will have a distribution such as: 2-2-2: 2 numbers from the top 6, 2 numbers from the middle frequency zone, 2 numbers from the least frequent group.
I created a table for a few examples of distribution. How many numbers in each of the three frequency groups; number of winners in each group; then, in the brackets, how many CombosNations from that group; lastly, how many total lotto combinations by the distribution?
Another point is the parpaluck (range of analysis or how many lottery draws to analyze). You chose N * 2 (78 past draws). The degree of certainty for N = 78 is DC = 99.99%. That means that 99.99% of the lotto 5/39 numbers will come out in 78 drawings. I would try lower parpalucks, like N (39 drawings) or N/2 (20). The parpaluck is higher for pairs, because the probability is lower.
Calculating the number of combinations should be the easiest part. I said previously "to apply the combination formula". It is hard to apply a formula manually. There are hand-held calculators with a function that calculates the combinations C(N, M); e.g. C(49, 6). My calculator (Sharp EL-531D) has a button labelled nCr. You type 49, then press nCr, then 6, and finally nCr.
My lottery software also calculates the number of combinations with ease. The easiest one is OddsCalc. It can be downloaded from my downloads site, software category 5.6 Scientific software: Mathematics, statistics, probability, combinatorics, odds, algorithms. Odds Calc calculates all the odds in the game; e.g. from 0 of 5 to 5 of 5. The 5 of 5 is the only one needed in the case of this strategy.
Also, MDIEditor Lotto WE calculates the number of combinations as C(39, 5). Steps in menu: Lotto, Lotto Odds. Type, for example 18, then 5; or 20, 3. The program will display total number of combinations for those two parameters. It will also generate lottery combinations for that format. Just type 1 for number of combinations to generate.
By the way, I think the best distribution for pick3 or pick-4 should be:
The best distribution for single-zero roulette should be:
The best distribution for double-zero roulette should be:
I calculated total combinations for various frequency cases. I compiled the calculations in tables: Frequency groups pick-3, pick-4 lotteries, lotto 5/39, 649 lotto.
You can see real-life reports for Pennsylvania Lottery Cash 5 game (lotto 5 of 39). The reports show the influence of the parpaluck in the appearance of the lotto numbers based on frequency. Read: Statistical Frequency Reports for Pennsylvania 5/39 Lotto.
FrequencyRank has a special feature. The program lists the lottery numbers by frequency: From the most frequent number (hot) to the least drawn (cold). This is the very traditional method of utilizing lotto strategies. The numbers are divided in two or three categories: Hot, mild, cold. Most lottery "experts" strongly recommend to play mainly hot numbers; or mostly hot numbers with a few milders mixed in.
The traditional lottery strategy based on number frequency is not nearly as potent as our new strategy created above.
Still, my lottery software Frequency Rank has a pretty good following. Not to mention that its workings are used illegitimately by several Webmasters. I also offer paid-for Web pages with statistical reports created by FrequencyRank for Powerball, Mega Millions, and Euromillions.
In truth, Frequency Rank offers the best options to create text files to represent lottery systems based on the traditional frequency. The user can copy and paste strings of numbers generated by the program and pasted in a text editor (Notepad will do). The lottery frequency systems can be: regardless of position and position by position.
Non-positional frequency systems consist of 1 line (regular lotto), or 2 lines (Powerball, Mega Millions, Euromillions):
4 48 13 39 42 28 33 19 10 16 35 2 49 43 46 7 37 41 5 36 32 21 24 26 27 18 31 17 25 8 6 20 29 11 38 9 15 44 40 1 3 12 14 45 22 34 23 30 47 (6/49 lotto)
In this case, the 6 most frequent (hottest) lottery numbers, regardless of position, were: 4 48 13 39 42 28. The 6 coldest numbers were: 47 30 23 34 22 45.
Positional frequency systems consist of multiple lines, one for each number position in the game (e.g. 6 in 6-number lottos or Powerball; 7 in 7-number lotto or Euromillions).
All you have to do, l'axiomatique, is copy as many lotto numbers as you want (10, 12, 18, etc.) and paste them to Notepad. Save to a text file with a mnemonic filename. Be sure not to leave any empty lines in the file!
So, you have ready a system file based on lottery frequencies. The next step is to generate lotto combinations from all those numbers you saved to disk. There is no better software than the very program you see above: Skip System. First of all, the comprehensive program creates even better systems than those based on traditional frequency methods. But that's not all. Skip System has special functions that generate the most precise lotto and lottery combinations, including from positional systems (multi-line files). Read: Skip Systems, Software for Lotto, Lottery, Powerball, Mega Millions, Euromillions.
Of interest: