Statistical Frequency Reports for Pennsylvania 5/39 Lotto.

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.EXE. 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.EXE, the most powerful and comprehensive lotto software package for all 5-number lotto games. Actually, the Bright*.EXE lottery software packages have been greatly upgraded and superseded by the Ultimate Lottery Software packages.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 
  11   3 10 22 30 35               1           2           2          86450 
  12   2 14 16 20 31               0           1           4          67830 
  13   2 12 21 28 31               0           3           2          69160 
  14   5 20 30 33 36               1           2           2          86450 
  15   1  3 12 15 19               0           0           5          15504 
  16   1  9 21 25 26               0           3           2          69160 
  17   2  3  8 13 36               1           0           4          24225 
  18   2  4  8 14 31               0           1           4          67830 
  19  19 28 32 33 37               1           3           1          36400 
  20   4 13 29 31 33               0           3           2          69160 
  21   5 27 30 31 38               1           3           1          36400 
  22   8 11 22 32 34               0           3           2          69160 
  23   6  7 11 27 29               0           2           3          103740 
  24   1  2 15 20 29               0           1           4          67830 
  25   1  7 11 18 33               0           1           4          67830 
  26   4 11 15 24 38               1           1           3          79800 
  27   3 12 24 32 39               1           2           2          86450 
  28  17 28 32 33 36               1           3           1          36400 
  29   2 21 25 29 37               1           3           1          36400 
  30  10 21 24 34 39               1           3           1          36400 
  31   5 19 26 34 37               1           2           2          86450 
  32   1  6 13 28 30               0           2           3          103740 
  33   1  4  7 19 27               0           1           4          67830 
  34  14 15 20 23 38               1           1           3          79800 
  35   7 23 25 33 37               1           3           1          36400 
  36   1  2  3 18 34               0           1           4          67830 
  37   8  9 27 28 36               1           2           2          86450 
  38   5 10 20 24 29               0           2           3          103740 
  39   3 18 24 30 35               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 
  11   3 10 22 30 35               1           2           2          86450 
  12   2 14 16 20 31               0           1           4          67830 
  13   2 12 21 28 31               0           3           2          69160 
  14   5 20 30 33 36               1           2           2          86450 
  15   1  3 12 15 19               0           0           5          15504 
  16   1  9 21 25 26               0           3           2          69160 
  17   2  3  8 13 36               1           0           4          24225 
  18   2  4  8 14 31               0           1           4          67830 
  19  19 28 32 33 37               1           3           1          36400 
  20   4 13 29 31 33               0           3           2          69160 
  21   5 27 30 31 38               1           3           1          36400 
  22   8 11 22 32 34               0           3           2          69160 
  23   6  7 11 27 29               0           2           3          103740 
  24   1  2 15 20 29               0           1           4          67830 
  25   1  7 11 18 33               0           1           4          67830 
  26   4 11 15 24 38               1           1           3          79800 
  27   3 12 24 32 39               1           2           2          86450 
  28  17 28 32 33 36               1           3           1          36400 
  29   2 21 25 29 37               1           3           1          36400 
  30  10 21 24 34 39               1           3           1          36400 
  31   5 19 26 34 37               1           2           2          86450 
  32   1  6 13 28 30               0           2           3          103740 
  33   1  4  7 19 27               0           1           4          67830 
  34  14 15 20 23 38               1           1           3          79800 
  35   7 23 25 33 37               1           3           1          36400 
  36   1  2  3 18 34               0           1           4          67830 
  37   8  9 27 28 36               1           2           2          86450 
  38   5 10 20 24 29               0           2           3          103740 
  39   3 18 24 30 35               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 
  11   3 10 22 30 35               1           1           3          79800 
  12   2 14 16 20 31               0           2           3          103740 
  13   2 12 21 28 31               0           3           2          69160 
  14   5 20 30 33 36               1           2           2          86450 
  15   1  3 12 15 19               0           1           4          67830 
  16   1  9 21 25 26               0           3           2          69160 
  17   2  3  8 13 36               1           0           4          24225 
  18   2  4  8 14 31               0           1           4          67830 
  19  19 28 32 33 37               1           3           1          36400 
  20   4 13 29 31 33               0           3           2          69160 
  21   5 27 30 31 38               1           3           1          36400 
  22   8 11 22 32 34               0           2           3          103740 
  23   6  7 11 27 29               0           2           3          103740 
  24   1  2 15 20 29               0           2           3          103740 
  25   1  7 11 18 33               0           2           3          103740 
  26   4 11 15 24 38               1           0           4          24225 
  27   3 12 24 32 39               1           1           3          79800 
  28  17 28 32 33 36               1           3           1          36400 
  29   2 21 25 29 37               1           2           2          86450 
  30  10 21 24 34 39               1           1           3          79800 
  31   5 19 26 34 37               1           3           1          36400 
  32   1  6 13 28 30               0           3           2          69160 
  33   1  4  7 19 27               0           3           2          69160 
  34  14 15 20 23 38               1           1           3          79800 
  35   7 23 25 33 37               1           2           2          86450 
  36   1  2  3 18 34               0           2           3          103740 
  37   8  9 27 28 36               1           2           2          86450 
  38   5 10 20 24 29               0           2           3          103740 
  39   3 18 24 30 35               1           1           3          79800 
  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 
  11   3 10 22 30 35               0           1           4          67830 
  12   2 14 16 20 31               2           2           1          18200 
  13   2 12 21 28 31               0           2           3          103740 
  14   5 20 30 33 36               1           3           1          36400 
  15   1  3 12 15 19               2           2           1          18200 
  16   1  9 21 25 26               1           0           4          24225 
  17   2  3  8 13 36               0           0           5          15504 
  18   2  4  8 14 31               0           3           2          69160 
  19  19 28 32 33 37               2           1           2          26600 
  20   4 13 29 31 33               0           3           2          69160 
  21   5 27 30 31 38               0           2           3          103740 
  22   8 11 22 32 34               0           2           3          103740 
  23   6  7 11 27 29               0           2           3          103740 
  24   1  2 15 20 29               2           1           2          26600 
  25   1  7 11 18 33               1           2           2          86450 
  26   4 11 15 24 38               1           2           2          86450 
  27   3 12 24 32 39               0           2           3          103740 
  28  17 28 32 33 36               0           2           3          103740 
  29   2 21 25 29 37               0           0           5          15504 
  30  10 21 24 34 39               1           2           2          86450 
  31   5 19 26 34 37               2           1           2          26600 
  32   1  6 13 28 30               1           1           3          79800 
  33   1  4  7 19 27               2           2           1          18200 
  34  14 15 20 23 38               1           2           2          86450 
  35   7 23 25 33 37               0           2           3          103740 
  36   1  2  3 18 34               0           2           3          103740 
  37   8  9 27 28 36               0           2           3          103740 
  38   5 10 20 24 29               1           3           1          36400 
  39   3 18 24 30 35               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 
  11   3 10 22 30 35               0           1           4          67830 
  12   2 14 16 20 31               2           1           2          26600 
  13   2 12 21 28 31               1           1           3          79800 
  14   5 20 30 33 36               0           3           2          69160 
  15   1  3 12 15 19               2           0           3          11400 
  16   1  9 21 25 26               1           0           4          24225 
  17   2  3  8 13 36               0           4           1          20020 
  18   2  4  8 14 31               1           1           3          79800 
  19  19 28 32 33 37               0           3           2          69160 
  20   4 13 29 31 33               0           3           2          69160 
  21   5 27 30 31 38               0           3           2          69160 
  22   8 11 22 32 34               0           2           3          103740 
  23   6  7 11 27 29               1           0           4          24225 
  24   1  2 15 20 29               1           2           2          86450 
  25   1  7 11 18 33               2           2           1          18200 
  26   4 11 15 24 38               0           3           2          69160 
  27   3 12 24 32 39               1           1           3          79800 
  28  17 28 32 33 36               1           1           3          79800 
  29   2 21 25 29 37               0           0           5          15504 
  30  10 21 24 34 39               0           3           2          69160 
  31   5 19 26 34 37               0           3           2          69160 
  32   1  6 13 28 30               1           1           3          79800 
  33   1  4  7 19 27               1           2           2          86450 
  34  14 15 20 23 38               1           3           1          36400 
  35   7 23 25 33 37               0           3           2          69160 
  36   1  2  3 18 34               0           3           2          69160 
  37   8  9 27 28 36               0           1           4          67830 
  38   5 10 20 24 29               0           2           3          103740 
  39   3 18 24 30 35               1           1           3          79800 
  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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