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Statistical Frequency Reports for Pennsylvania 5/39 Lotto

By Ion Saliu, Founder of: Lottery Mathematics, Lotto Programming Science

Lotto Number Frequency for Pennsylvania lotto 5 39.

Software used to create the statistical reports: SkipDecaFreq5. The program also generates combinations based on such parameters as lotto number frequency, lotto decades and skips of lotto numbers. The application is a component of Bright5, the most powerful and comprehensive lotto software package for all 5-number lotto games. Actually, the Bright lottery software packages have been greatly upgraded and superseded by the Ultimate Lottery Software packages.

The following are real-life reports for Pennsylvania Lottery Cash 5 game (5 of 39 lotto). The reports show the influence of the parpaluck in the appearance of the lotto numbers based on frequency. The parpaluck is the range of analysis to determine the statistical frequency of the lotto numbers. The term parpaluck was introduced simply to… simplify! It's easier to use one word instead of range or span of statistical analysis or number of lottery drawings to analyze.

The parpaluck is to be calculated in conjunction with Ion Saliu's Paradox of N Trials. If the probability of an event is expressed as 1 in N, therefore p = 1/N, then the amount of the elements drawn can be calculated by the Fundamental Formula of Gambling (FFG). If we conduct N trials, then the old school told you that the probability of the event became p = 1 (certainty). NOT! The probability is clearly lower than 1. The paradox determines that such probability (called degree of certainty DC) tends to 1 – (1/e), or 63.2%, where e is the base of the natural logarithm: 2.718281828.....

The 5/39 lotto calculates the probability as 1 in 39/5, approximately 1 in 8 or p = 1/8. We can select parpalucks as multiples of the denominator (N = 8 in this case). It appears that parpalucks equal to N * 2 or N * 3 perform better than other parpalucks. The indicator is in Total combinations generated by various compositions of the lotto frequency groups.

Five reports were generated for the following parpaluck values: 8, 16, 24, 39 (total numbers in the lotto-5 game), and 78.


                   * Lotto 5/39 Frequencies Report by Draw
                   File: C:\LOTTERY\PA-5; Date: 12-16-2006
                   Draws Analyzed: 200 ~ Parpaluck: 8 

 The numbers in each column show how many numbers 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  numbers in the draw
 came from group 1 (hot); 2 of numbers were from the 2nd group; etc.

 Line    Draw                  Group #1    Group #2    Group #3       Total
  no     ings                 5 numbers   14 numbers  20 numbers      combinations

   1   8 23 24 27 37               1           3           1          36400 
   2   3 24 27 32 37               1           3           1          36400 
   3   8 13 22 30 39               1           2           2          86450 
   4   4  8 20 21 36               1           1           3          79800 
   5  15 29 32 36 37               2           2           1          18200 
   6  11 15 16 22 26               0           2           3          103740 
   7   1  4 10 15 31               0           1           4          67830 
   8   3  4 21 29 30               0           3           2          69160 
   9  14 15 22 24 32               0           3           2          69160 
  10  11 13 33 34 36               1           2           2          86450 
...
  40   1 16 20 32 34               0           2           3          103740 
  41   5 14 15 33 38               1           1           3          79800 
  42   6  7  9 19 38               1           0           4          24225 
  43  17 22 26 31 37               1           3           1          36400 
  44   2 14 20 33 37               1           1           3          79800 
  45   1 10 33 35 39               2           1           2          26600 
  46   7 15 19 24 26               0           2           3          103740 
  47   3  6 30 34 36               1           2           2          86450 
  48   3  5  8 19 28               0           1           4          67830 
  49   1  4 14 19 33               0           1           4          67830 
  50  20 27 31 35 36               2           2           1          18200 
...
 195   4  9 16 34 35               1           1           3          79800 
 196   1 22 25 26 32               0           4           1          20020 
 197   4  8 25 29 31               0           3           2          69160 
 198   2  8 10 15 27               0           1           4          67830 
 199   3 20 21 30 34               0           3           2          69160 
 200  21 23 32 38 39               2           3           0          3640



                   * Lotto-5 Frequencies Report by Draw
                   File: C:\LOTTERY\PA-5; Date: 12-16-2006
                   Draws Analyzed: 200 ~ Parpaluck: 16 

 The numbers in each column show how many numbers 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  numbers in the draw
 came from group 1 (hot); 2 of numbers were from the 2nd group; etc.

 Line    Draw                  Group #1    Group #2    Group #3       Total
  no     ings                 5 numbers   14 numbers  20 numbers      combos

   1   8 23 24 27 37               1           3           1          36400 
   2   3 24 27 32 37               1           3           1          36400 
   3   8 13 22 30 39               1           2           2          86450 
   4   4  8 20 21 36               1           1           3          79800 
   5  15 29 32 36 37               2           2           1          18200 
   6  11 15 16 22 26               0           2           3          103740 
   7   1  4 10 15 31               0           1           4          67830 
   8   3  4 21 29 30               0           3           2          69160 
   9  14 15 22 24 32               0           3           2          69160 
  10  11 13 33 34 36               1           2           2          86450 
...
  40   1 16 20 32 34               0           2           3          103740 
  41   5 14 15 33 38               1           1           3          79800 
  42   6  7  9 19 38               1           0           4          24225 
  43  17 22 26 31 37               1           3           1          36400 
  44   2 14 20 33 37               1           1           3          79800 
  45   1 10 33 35 39               2           1           2          26600 
  46   7 15 19 24 26               0           2           3          103740 
  47   3  6 30 34 36               1           2           2          86450 
  48   3  5  8 19 28               0           1           4          67830 
  49   1  4 14 19 33               0           1           4          67830 
  50  20 27 31 35 36               2           2           1          18200 
...
 195   4  9 16 34 35               1           1           3          79800 
 196   1 22 25 26 32               0           4           1          20020 
 197   4  8 25 29 31               0           3           2          69160 
 198   2  8 10 15 27               0           1           4          67830 
 199   3 20 21 30 34               0           3           2          69160 
 200  21 23 32 38 39               2           3           0          3640


                   * Lotto 5/39 Frequencies Report by Draw
                   File: C:\LOTTERY\PA-5; Date: 12-16-2006
                   Draws Analyzed: 200 ~ Parpaluck: 24 

 The numbers in each column show how many numbers 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  numbers in the draw
 came from group 1 (hot); 2 of numbers were from the 2nd group; etc.

 Line    Draw                  Group #1    Group #2    Group #3       Total
  no     ings                 5 numbers   14 numbers  20 numbers      combinations

   1   8 23 24 27 37               1           1           3          79800 
   2   3 24 27 32 37               1           2           2          86450 
   3   8 13 22 30 39               1           1           3          79800 
   4   4  8 20 21 36               1           1           3          79800 
   5  15 29 32 36 37               2           3           0          3640 
   6  11 15 16 22 26               0           1           4          67830 
   7   1  4 10 15 31               0           1           4          67830 
   8   3  4 21 29 30               0           3           2          69160 
   9  14 15 22 24 32               0           1           4          67830 
  10  11 13 33 34 36               1           2           2          86450 
...
  40   1 16 20 32 34               0           2           3          103740 
  41   5 14 15 33 38               1           2           2          86450 
  42   6  7  9 19 38               1           1           3          79800 
  43  17 22 26 31 37               1           2           2          86450 
  44   2 14 20 33 37               1           1           3          79800 
  45   1 10 33 35 39               2           2           1          18200 
  46   7 15 19 24 26               0           2           3          103740 
  47   3  6 30 34 36               1           2           2          86450 
  48   3  5  8 19 28               0           3           2          69160 
  49   1  4 14 19 33               0           2           3          103740 
  50  20 27 31 35 36               2           2           1          18200 
...
 195   4  9 16 34 35               1           2           2          86450 
 196   1 22 25 26 32               0           3           2          69160 
 197   4  8 25 29 31               0           3           2          69160 
 198   2  8 10 15 27               0           3           2          69160 
 199   3 20 21 30 34               0           2           3          103740 
 200  21 23 32 38 39               2           1           2          26600



                   * Lotto-5 Frequencies Report by Draw
                   File: C:\LOTTERY\PA-5; Date: 12-16-2006
                   Draws Analyzed: 200 ~ Parpaluck: 39 

 The numbers in each column show how many numbers 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 numbers in the draw
 came from group 1 (hot); 2 of numbers were from the 2nd group; etc.

 Line    Draw                  Group #1    Group #2    Group #3       Total
  no     ings                 5 numbers   14 numbers  20 numbers      combos

   1   8 23 24 27 37               0           3           2          69160 
   2   3 24 27 32 37               0           3           2          69160 
   3   8 13 22 30 39               0           2           3          103740 
   4   4  8 20 21 36               0           4           1          20020 
   5  15 29 32 36 37               1           3           1          36400 
   6  11 15 16 22 26               1           0           4          24225 
   7   1  4 10 15 31               2           2           1          18200 
   8   3  4 21 29 30               0           3           2          69160 
   9  14 15 22 24 32               0           3           2          69160 
  10  11 13 33 34 36               1           1           3          79800 
...
  40   1 16 20 32 34               1           3           1          36400 
  41   5 14 15 33 38               0           3           2          69160 
  42   6  7  9 19 38               1           1           3          79800 
  43  17 22 26 31 37               1           0           4          24225 
  44   2 14 20 33 37               0           1           4          67830 
  45   1 10 33 35 39               2           1           2          26600 
  46   7 15 19 24 26               1           1           3          79800 
  47   3  6 30 34 36               0           2           3          103740 
  48   3  5  8 19 28               0           3           2          69160 
  49   1  4 14 19 33               1           2           2          86450 
  50  20 27 31 35 36               2           2           1          18200 
...
 195   4  9 16 34 35               1           0           4          24225 
 196   1 22 25 26 32               1           1           3          79800 
 197   4  8 25 29 31               1           3           1          36400 
 198   2  8 10 15 27               1           1           3          79800 
 199   3 20 21 30 34               0           1           4          67830 
 200  21 23 32 38 39               0           3           2          69160


                   * Lotto 5/39 Frequencies Report by Draw
                   File: C:\LOTTERY\PA-5; Date: 12-16-2006
                   Draws Analyzed: 200 ~ Parpaluck: 78 

 The numbers in each column show how many numbers 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 numbers in the draw
 came from group 1 (hot); 2 of numbers were from the 2nd group; etc.

 Line    Draw                  Group #1    Group #2    Group #3       Total
  no     ings                 5 numbers   14 numbers  20 numbers      combinations

   1   8 23 24 27 37               0           2           3          103740 
   2   3 24 27 32 37               0           2           3          103740 
   3   8 13 22 30 39               0           1           4          67830 
   4   4  8 20 21 36               1           2           2          86450 
   5  15 29 32 36 37               1           3           1          36400 
   6  11 15 16 22 26               1           0           4          24225 
   7   1  4 10 15 31               2           3           0          3640 
   8   3  4 21 29 30               0           2           3          103740 
   9  14 15 22 24 32               0           2           3          103740 
  10  11 13 33 34 36               0           3           2          69160 
...
  40   1 16 20 32 34               1           3           1          36400 
  41   5 14 15 33 38               1           3           1          36400 
  42   6  7  9 19 38               0           2           3          103740 
  43  17 22 26 31 37               1           1           3          79800 
  44   2 14 20 33 37               1           1           3          79800 
  45   1 10 33 35 39               2           2           1          18200 
  46   7 15 19 24 26               0           2           3          103740 
  47   3  6 30 34 36               0           2           3          103740 
  48   3  5  8 19 28               0           1           4          67830 
  49   1  4 14 19 33               0           3           2          69160 
  50  20 27 31 35 36               2           1           2          26600 
  51  10 14 22 25 28               1           0           4          24225 
...
 195   4  9 16 34 35               1           1           3          79800 
 196   1 22 25 26 32               1           0           4          24225 
 197   4  8 25 29 31               1           3           1          36400 
 198   2  8 10 15 27               2           2           1          18200 
 199   3 20 21 30 34               0           0           5          15504 
 200  21 23 32 38 39               0           2           3          103740

View reports of lotto 5-39 in Pennsylvania lottery; numbers frequency, statistics, of  Cash 5 lotto 539.

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Reports for Pennsylvania Lottery Cash 5 game (lotto '5 of 39').


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