What is History?

History is a unique Expert Lotto feature which provides 100% guarantee of finding the Jackpot winning ticket if several History parameters are correctly estimates.

History is based on the latest occurrences of each winning number. Most of conventional lottery strategies analyze a fixed interval of past draws. However Expert Lotto History tracks fixed count of occurrences of each number no matter how long ago the number was drawn. By default History checks 11 latest occurrences of each number in the pool, however this count is adjustable in application preferences.

The picture below shows the matrix of winning numbers database in Expert Lotto 6/49 Demo Lottery without the very latest draw:
about_history1.png

From the picture you can see that the latest occurrence of number 1 (highlighted with yellow color) happened 4 draws ago in the selected section of winning numbers database. Number 2 hit 2 draws ago, 21 draws elapsed since the latest occurrence of number 3, 10 draws elapsed since the last hit of number 4 etc. Arranged to a table the latest occurrences look like this:

Number of draws elapsed since the latest hit of each number
Number 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49
Draws count 4 2 21 10 9 1 24 7 14 12 7 4 1 1 5 2 2 3 1 6 13 3 3 4 2 7 18 3 3 5 9 4 6 14 6 8 5 8 14 2 1 1 9 11 33 11 10 7 7

The values in the second table row are called Level 0 in History terms.

When searching for previous hits of drawn numbers you can see from the picture above that the previous hit of number 1 happened 15 draws ago - in draw 2010/25 Wed 1st. Previous hit of number 2 can be found 5 draws ago, number 3 hit 24 draws ago etc. The table of previous hits looks like this:

Number of draws elapsed since the second latest hit of each number
Number 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49
Draws count 15 5 23 23 11 4 27 8 28 31 8 11 2 21 12 3 30 8 7 22 77 5 6 13 6 10 19 12 5 6 11 8 10 15 10 12 16 20 17 9 4 20 12 25 34 13 31 19 14

The values in the second table row are called Level 1 in History terms.

The same applies to other previous occurrences of each number up to Level 10 as by default the History tracks 11 latest occurrences of each number.

Now we can arrange tables for individual Levels into a grid to form a complete Number History:

Number Level 0 Level 1 Level 2 Level 3 Level 4 Level 5 Level 6 Level 7 Level 8 Level 9 Level 10
1 4 15 19 20 29 35 36 66 69 91 97
2 2 5 22 30 32 44 46 57 59 72 79
3 21 23 25 26 27 28 34 36 39 40 56
4 10 23 24 30 47 49 66 88 96 102 121
5 9 11 19 26 44 47 52 55 58 79 80
6 1 4 9 15 26 46 52 64 73 75 92
7 24 27 34 56 61 64 68 69 76 78 86
8 7 8 16 24 40 46 54 75 85 97 111
9 14 28 37 49 52 53 65 70 80 86 88
10 12 31 36 51 53 56 74 82 100 119 121
11 7 8 9 17 28 38 48 58 71 86 92
12 4 11 14 16 18 20 27 29 33 43 72
13 1 2 21 23 25 47 68 72 74 75 77
14 1 21 32 54 59 66 80 81 89 94 97
15 5 12 57 67 70 88 93 102 122 130 131
16 2 3 13 42 49 62 64 69 72 77 80
17 2 30 32 35 43 50 52 68 79 81 84
18 3 8 10 26 49 54 55 58 61 63 65
19 1 7 17 21 22 25 33 38 53 60 67
20 6 22 26 28 29 41 45 51 61 62 77
21 13 77 80 103 105 106 108 109 121 127 138
22 3 5 15 26 38 42 48 51 71 78 82
23 3 6 14 16 21 22 24 28 29 37 40
24 4 13 15 20 33 35 38 57 67 81 90
25 2 6 11 13 18 23 24 31 34 37 41
26 7 10 39 41 47 60 61 63 69 83 84
27 18 19 25 27 31 37 59 61 69 84 98
28 3 12 17 24 40 53 60 64 71 75 79
29 3 5 17 23 40 43 53 55 56 61 63
30 5 6 12 27 29 30 33 36 37 42 43
31 9 11 16 25 32 39 44 49 55 70 87
32 4 8 17 22 27 35 48 50 54 71 74
33 6 10 18 19 20 45 56 84 85 99 105
34 14 15 23 29 32 47 65 71 74 76 85
35 6 10 13 18 36 41 42 46 48 57 68
36 8 12 30 34 38 41 50 54 70 71 78
37 5 16 31 34 45 50 51 59 62 63 73
38 8 20 32 37 39 69 72 77 82 83 89
39 14 17 19 42 44 45 50 52 57 67 74
40 2 9 15 30 35 41 45 60 62 73 75
41 1 4 18 36 39 57 62 64 66 70 73
42 1 20 38 51 62 76 78 94 100 105 106
43 9 12 28 58 59 77 83 91 94 103 106
44 11 25 33 39 42 53 60 87 88 102 104
45 33 34 45 63 64 66 82 115 117 119 124
46 11 13 40 43 48 49 52 55 63 73 83
47 10 31 43 44 50 59 66 67 68 73 76
48 7 19 21 22 35 46 48 78 83 85 107
49 7 14 16 31 44 58 60 67 86 89 96

The next step is to calculate sum of all values in each Level column:


Level 0 Level 1 Level 2 Level 3 Level 4 Level 5 Level 6 Level 7 Level 8 Level 9 Level 10
Sum 363 758 1213 1653 1996 2404 2734 3163 3488 3864 4214

The table above shows Summary History values for the latest of the selected draws which is 2010/28 Sun 1st.

What happens after adding winning numbers from the next draw 2010/28 Sun 2nd to the Number History table above? Winning numbers for that draw are 23-29-36-42-44-47-[7].

Number Level 0 Level 1 Level 2 Level 3 Level 4 Level 5 Level 6 Level 7 Level 8 Level 9 Level 10
1 5 16 20 21 30 36 37 67 70 92 98
2 3 6 23 31 33 45 47 58 60 73 80
3 22 24 26 27 28 29 35 37 40 41 57
4 11 24 25 31 48 50 67 89 97 103 122
5 10 12 20 27 45 48 53 56 59 80 81
6 2 5 10 16 27 47 53 65 74 76 93
7 25 28 35 57 62 65 69 70 77 79 87
8 8 9 17 25 41 47 55 76 86 98 112
9 15 29 38 50 53 54 66 71 81 87 89
10 13 32 37 52 54 57 75 83 101 120 122
11 8 9 10 18 29 39 49 59 72 87 93
12 5 12 15 17 19 21 28 30 34 44 73
13 2 3 22 24 26 48 69 73 75 76 78
14 2 22 33 55 60 67 81 82 90 95 98
15 6 13 58 68 71 89 94 103 123 131 132
16 3 4 14 43 50 63 65 70 73 78 81
17 3 31 33 36 44 51 53 69 80 82 85
18 4 9 11 27 50 55 56 59 62 64 66
19 2 8 18 22 23 26 34 39 54 61 68
20 7 23 27 29 30 42 46 52 62 63 78
21 14 78 81 104 106 107 109 110 122 128 139
22 4 6 16 27 39 43 49 52 72 79 83
23 1 4 7 15 17 22 23 25 29 30 38
24 5 14 16 21 34 36 39 58 68 82 91
25 3 7 12 14 19 24 25 32 35 38 42
26 8 11 40 42 48 61 62 64 70 84 85
27 19 20 26 28 32 38 60 62 70 85 99
28 4 13 18 25 41 54 61 65 72 76 80
29 1 4 6 18 24 41 44 54 56 57 62
30 6 7 13 28 30 31 34 37 38 43 44
31 10 12 17 26 33 40 45 50 56 71 88
32 5 9 18 23 28 36 49 51 55 72 75
33 7 11 19 20 21 46 57 85 86 100 106
34 15 16 24 30 33 48 66 72 75 77 86
35 7 11 14 19 37 42 43 47 49 58 69
36 1 9 13 31 35 39 42 51 55 71 72
37 6 17 32 35 46 51 52 60 63 64 74
38 9 21 33 38 40 70 73 78 83 84 90
39 15 18 20 43 45 46 51 53 58 68 75
40 3 10 16 31 36 42 46 61 63 74 76
41 2 5 19 37 40 58 63 65 67 71 74
42 1 2 21 39 52 63 77 79 95 101 106
43 10 13 29 59 60 78 84 92 95 104 107
44 1 12 26 34 40 43 54 61 88 89 103
45 34 35 46 64 65 67 83 116 118 120 125
46 12 14 41 44 49 50 53 56 64 74 84
47 1 11 32 44 45 51 60 67 68 69 74
48 8 20 22 23 36 47 49 79 84 86 108
49 8 15 17 32 45 59 61 68 87 90 97

From the table above you can see that the value in Level 0 for all winning numbers is 1. Value in Level 1 is previous value in Level 0 + 1, value in Level 2 is previous value in Level 1 + 1, value in Level 3 is previous value from Level 2 + 1.

Number History for all other pool numbers is simply the previous value incremented by 1.

The new History Summary is then:


Level 0 Level 1 Level 2 Level 3 Level 4 Level 5 Level 6 Level 7 Level 8 Level 9 Level 10
Sum 376 744 1186 1670 1999 2412 2746 3158 3511 3875 4245

The table above shows Summary History values for the latest draw 2010/28 Sun 2nd.

When compared to previous draw the Summary History values have changed this way:

Level 0 Level 1 Level 2 Level 3 Level 4 Level 5 Level 6 Level 7 Level 8 Level 9 Level 10
Previous sums (2010/28 Sun 1st) 363 758 1213 1653 1996 2404 2734 3163 3488 3864 4214
Latest sums (2010/28 Sun 2nd) 376 744 1186 1670 1999 2412 2746 3158 3511 3875 4245
Difference +13 -14 -27 +17 +3 +8 +12 -5 +23 +11 +31

Now let's pretend that we don't know the actual winning numbers from the latest draw 2010/28 Sun 2nd but that we can correctly estimate how History Summary values will change after that draw. From the table above we can see that summary value in Level 0 will increase by 13, Level 1 will decrease by -14 etc. We will use a range of +10/-10 for each estimated value to allow for errors in our estimates. So the estimate for Level 0 is that the Summary History value will increase from +3 to +23 (the actual change in Level 0 is +13 so the range is +13-10=+3 and +13+10=23). Estimated range of changes in Level 1 is -24 to -4 (the actual change in Level 1 is -14 so the range is -14-10=-24 and -14+10=-4). The same applies to other Levels. Now we can use these estimates in Expert Lotto filters to find the Jackpot winning ticket:

  1. Click menu Package - Insert - Full Wheel to insert all possible combinations of 6 numbers from a pool of 49. There are 13,983,816 such tickets.
  2. Click menu Package - Reduce - Filter Tickets and choose Sums History filter.
  3. Click Select button in the filter window and select All draws except one latest draw to pretend that the numbers of the latest draw 2010/28 Sun 2nd haven't been drawn yet.
  4. Enter the estimated ranges into Min Difference and Max Difference columns. The filter window should look like this then:
    about_history2.png
  5. Click OK button to apply the filter on tickets in the Package.
  6. When the filter is finished there will be 138 tickets left in the Package, including the Jackpot winning one for draw 2010/28 Sun 2nd
  7. Click menu Package - Show As - Winnings to check the winnings of tickets left after filtering.
  8. Select 1 latest draw in Package Winnings window and you'll see that the filtered Package does contain the Jackpot winning ticket:
    about_history3.png

As you can see above, with History features you can reduce millions of number combinations down to a hundred or two hundred tickets while having 100% guarantee that the filtered tickets include the Jackpot winning one. However the problem is that it isn't easy to make correct estimates for all Levels. If a single Level value is out of the estimated range, the Jackpot ticket is lost. But here are various strategies to compensate for possible errors in estimated ranges.

Glossary