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Relative Combinatorial Distribution

Topic closed. 3 replies. Last post 10 years ago by JADELottery.

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JADELottery's avatar - YingYangYong 01.PNG
The Quantum Master
West Concord, MN
United States
Member #21
December 7, 2001
3685 Posts
Online
Posted: November 8, 2006, 3:35 am - IP Logged

Relative Combinatorial Distribution

    Reference - Combinatorial Distribution, Average Rate of Reoccurrence Distribution

    Relative Combinatorial Distribution - Dr(n,r,c,z,d) = d * (D(n,r,c,z) / C(n,r)) = d / Ar(n,r,c,z)

      n - number of items (number of balls)
      r - number of items in a combinatorial set (number of picks)
      c - column number of the item (position in the pick set; when items in the set are in ascending order)
      z - item number (ball number)
      d - number of random combinatorial set selections (number of draws)

The relative combinatorial distribution is the approximate frequency distribution by column for a randomly selected combinatorial set of items at a given index or draw number. As an example, the first 1,500 draws for Wisconsin Megabucks will be used as a reference; a 6/49 lottery. The relative combinatorial distribution can be calculated to show approximately what the frequency distribution will be like at 1,500 draws. Using the function, the distribution for 1,500 draw is as follows (values rounded to ones):

 

 

 

 

C

 

 

 

Z

1

2

3

4

5

6

1

184

 

 

 

 

 

2

165

19

 

 

 

 

3

147

35

2

 

 

 

4

131

48

5

0

 

 

5

116

58

9

0

0

 

6

103

66

13

1

0

0

7

91

72

18

2

0

0

8

80

76

24

3

0

0

9

71

78

30

5

0

0

10

62

79

35

7

1

0

11

54

79

41

9

1

0

12

47

78

46

12

1

0

13

40

76

51

15

2

0

14

35

73

55

18

3

0

15

30

70

58

22

4

0

16

25

66

61

26

5

0

17

22

62

64

30

6

0

18

18

57

66

34

8

1

19

15

53

67

38

10

1

20

13

48

67

42

12

1

21

11

44

67

46

15

2

22

9

40

66

50

17

2

23

7

35

64

54

20

3

24

6

31

62

57

24

4

25

5

27

60

60

27

5

26

4

24

57

62

31

6

27

3

20

54

64

35

7

28

2

17

50

66

40

9

29

2

15

46

67

44

11

30

1

12

42

67

48

13

31

1

10

38

67

53

15

32

1

8

34

66

57

18

33

0

6

30

64

62

22

34

0

5

26

61

66

25

35

0

4

22

58

70

30

36

0

3

18

55

73

35

37

0

2

15

51

76

40

38

0

1

12

46

78

47

39

0

1

9

41

79

54

40

0

1

7

35

79

62

41

0

0

5

30

78

71

42

0

0

3

24

76

80

43

0

0

2

18

72

91

44

0

0

1

13

66

103

45

 

0

0

9

58

116

46

 

 

0

5

48

131

47

 

 

 

2

35

147

48

 

 

 

 

19

165

49

 

 

 

 

 

184

Here's the actual distribution for the 1,500 draws:

 

 

 

C

 

 

 

Z

1

2

3

4

5

6

1

178

 

 

 

 

 

2

177

15

 

 

 

 

3

147

36

5

 

 

 

4

113

54

9

0

 

 

5

124

59

4

0

0

 

6

115

61

10

1

0

0

7

93

81

16

2

0

0

8

80

81

29

4

0

0

9

74

95

39

3

1

0

10

57

79

40

6

1

0

11

54

90

45

10

0

0

12

49

64

50

11

1

0

13

34

88

51

17

4

0

14

36

66

51

20

2

0

15

35

68

62

19

2

1

16

25

60

65

27

4

0

17

14

50

64

26

4

1

18

21

52

62

25

6

2

19

20

55

54

44

7

0

20

8

45

68

35

12

2

21

7

47

53

45

15

0

22

4

41

60

46

15

0

23

7

20

64

45

21

0

24

4

36

72

63

25

4

25

4

32

59

80

23

3

26

7

21

55

66

30

4

27

2

22

56

67

39

6

28

1

18

54

65

47

5

29

1

13

37

69

36

11

30

4

11

49

52

48

11

31

1

14

42

77

50

15

32

1

5

26

73

56

19

33

0

7

34

68

60

23

34

3

2

26

58

76

25

35

0

5

19

60

68

24

36

0

3

12

53

76

42

37

0

2

15

45

67

39

38

0

0

15

45

79

47

39

0

1

11

42

74

47

40

0

1

4

32

86

58

41

0

0

7

20

91

60

42

0

0

6

35

63

83

43

0

0

0

20

73

96

44

0

0

0

12

84

100

45

 

0

0

9

51

120

46

 

 

0

1

45

139

47

 

 

 

2

38

147

48

 

 

 

 

20

173

49

 

 

 

 

 

193

Side by Side:

 

 

 

 

 

 

C

 

 

 

 

 

 

 

Calculated

Actual

Calculated

Actual

Calculated

Actual

Calculated

Actual

Calculated

Actual

Calculated

Actual

Z

1

1

2

2

3

3

4

4

5

5

6

6

1

184

178

 

 

 

 

 

 

 

 

 

 

2

165

177

19

15

 

 

 

 

 

 

 

 

3

147

147

35

36

2

5

 

 

 

 

 

 

4

131

113

48

54

5

9

0

0

 

 

 

 

5

116

124

58

59

9

4

0

0

0

0

 

 

6

103

115

66

61

13

10

1

1

0

0

0

0

7

91

93

72

81

18

16

2

2

0

0

0

0

8

80

80

76

81

24

29

3

4

0

0

0

0

9

71

74

78

95

30

39

5

3

0

1

0

0

10

62

57

79

79

35

40

7

6

1

1

0

0

11

54

54

79

90

41

45

9

10

1

0

0

0

12

47

49

78

64

46

50

12

11

1

1

0

0

13

40

34

76

88

51

51

15

17

2

4

0

0

14

35

36

73

66

55

51

18

20

3

2

0

0

15

30

35

70

68

58

62

22

19

4

2

0

1

16

25

25

66

60

61

65

26

27

5

4

0

0

17

22

14

62

50

64

64

30

26

6

4

0

1

18

18

21

57

52

66

62

34

25

8

6

1

2

19

15

20

53

55

67

54

38

44

10

7

1

0

20

13

8

48

45

67

68

42

35

12

12

1

2

21

11

7

44

47

67

53

46

45

15

15

2

0

22

9

4

40

41

66

60

50

46

17

15

2

0

23

7

7

35

20

64

64

54

45

20

21

3

0

24

6

4

31

36

62

72

57

63

24

25

4

4

25

5

4

27

32

60

59

60

80

27

23

5

3

26

4

7

24

21

57

55

62

66

31

30

6

4

27

3

2

20

22

54

56

64

67

35

39

7

6

28

2

1

17

18

50

54

66

65

40

47

9

5

29

2

1

15

13

46

37

67

69

44

36

11

11

30

1

4

12

11

42

49

67

52

48

48

13

11

31

1

1

10

14

38

42

67

77

53

50

15

15

32

1

1

8

5

34

26

66

73

57

56

18

19

33

0

0

6

7

30

34

64

68

62

60

22

23

34

0

3

5

2

26

26

61

58

66

76

25

25

35

0

0

4

5

22

19

58

60

70

68

30

24

36

0

0

3

3

18

12

55

53

73

76

35

42

37

0

0

2

2

15

15

51

45

76

67

40

39

38

0

0

1

0

12

15

46

45

78

79

47

47

39

0

0

1

1

9

11

41

42

79

74

54

47

40

0

0

1

1

7

4

35

32

79

86

62

58

41

0

0

0

0

5

7

30

20

78

91

71

60

42

0

0

0

0

3

6

24

35

76

63

80

83

43

0

0

0

0

2

0

18

20

72

73

91

96

44

0

0

0

0

1

0

13

12

66

84

103

100

45

 

 

0

0

0

0

9

9

58

51

116

120

46

 

 

 

 

0

0

5

1

48

45

131

139

47

 

 

 

 

 

 

2

2

35

38

147

147

48

 

 

 

 

 

 

 

 

19

20

165

173

49

 

 

 

 

 

 

 

 

 

 

184

193

Presented 'AS IS' and for Entertainment Purposes Only.
Any gain or loss is your responsibility.
Use at your own risk.

Order is a Subset of Chaos
Knowledge is Beyond Belief
Wisdom is Not Censored
Douglas Paul Smallish
Jehocifer

    Avatar

    United States
    Member #986
    January 5, 2003
    280 Posts
    Offline
    Posted: November 8, 2006, 4:15 am - IP Logged

    Thanks Doug,  you got the wheels turning in this head of mine.  Seems as though if you calculated to 1501 draws that you could use those calculations as a prediction for the next numbers in that row which is in a median of the calculation.  Yes or No?

      JADELottery's avatar - YingYangYong 01.PNG
      The Quantum Master
      West Concord, MN
      United States
      Member #21
      December 7, 2001
      3685 Posts
      Online
      Posted: November 8, 2006, 4:23 am - IP Logged

      Yes, you are on the right track. There will be more to follow. I'm trying to disburse as much of the information in chunks to the populous so those who know what to do with the information can take their time.

      Presented 'AS IS' and for Entertainment Purposes Only.
      Any gain or loss is your responsibility.
      Use at your own risk.

      Order is a Subset of Chaos
      Knowledge is Beyond Belief
      Wisdom is Not Censored
      Douglas Paul Smallish
      Jehocifer

        JADELottery's avatar - YingYangYong 01.PNG
        The Quantum Master
        West Concord, MN
        United States
        Member #21
        December 7, 2001
        3685 Posts
        Online
        Posted: December 2, 2006, 6:27 am - IP Logged

        6/49 Relative Combinatorial Distribution WI MB 1,500 S

        Presented 'AS IS' and for Entertainment Purposes Only.
        Any gain or loss is your responsibility.
        Use at your own risk.

        Order is a Subset of Chaos
        Knowledge is Beyond Belief
        Wisdom is Not Censored
        Douglas Paul Smallish
        Jehocifer