Lottery Wheel with Fixed Numbers for n/N Games
One form of a lottery wheel is to fix some of the selected numbers and play all the possible combinations of the others with the
fixed numbers. Such a system guarantees a jackpot if all the conditions are satisfied. This utility generates all the combinations
of a selected set of n/N game numbers into groups of n, with the option of fixing some selections.
Fixed numbers are those numbers that the user wants to appear in all generated plays.
This tool is divided into two parts - Preview and Generation, which function independently.
The Preview part is intended for analizing the scenarios and expected outcomes of the combinations of a set of numbers before
they are generated. The generation part lists the plays based on the user's selections. If you are a first time user of this tool
you may first read the usage instructions provided further below.
This generator is initially set up for a 6/49 game. You can change the game type by entering the values of n and
N in the right box below.
Once you have determined how much to spend and selected your numbers, you can generate the combinations with following
tool. Click on a number to select it, click on a selected number to fix it, click on a fixed number to unselect it.
Every time you click, the total combinations to be generated will be displayed at the bottom. The 'Generate' button opens a new
window with the generated numbers. Becasuse of the time and computer resources involved to generate these combinations, this
lottery tool can generate only up to 100,000 combinations.
If no numbers are fixed, the generated plays will be all the possible combinations of the selected numbers, which will be
exactly the same as our other utility - Combinations Generator (for n/N games).
If some numbers are fixed, then the plays will be generated by combining the fixed numbers with all the possible combinations
of the rest of the selected numbers.
The purpose of fixing some numbers is to reduce the number of plays generated. This results in lower cost, but
at the expense of reduces chance of winning. For instance, the combinations of 9 numbers in a 6/49 game will result
in 84 plays; but if 3 of the numbers are fixed, the number of plays becomes 20. This utility allows you to fix upto
upto n - 1 numbers, that is, one less than the numbers to be selected for game.
A jackpot is guaranteed if the fixed numbers are all winning numbers, plus if all the other winning numbers are
among the selected numbers. All other scenarios, such as what happens if you get 2 of the fixed and 3 of the other selected, can
be viewed by manipulating the 'what if..' situations in the 'Preview' section as demonstrated below.
Let us suppose that we want to play all numbers that are divisible by 5 of a 6/49 game, that is, 5, 10, 15, 20, 25, 30, 35, 40, 45 (a total of 9).
To preview the scenarios, select 9 from the drop-down numbers on the Preview panel and click "Show Scenario".
The total number of plays to be generated will be shown as 84 and a list of IF conditions will be listed. Now, we can view the
'what if' situations to see how the 84 tickets would fare. For example, clicking on the 'If 5 correct' line will list that 4 of
our plays(tickets) will match 5-of-6, 30 will match 4-of-6 , and so on. If all of the winning numbers are divisible by 5 (click on 'If 6 correct' line),
then it will be celebration time.
Now let us see the effect fixing 3 of our numbers. Go back to the Preview panel and select 9 as the numbers to play and 3 as the
numbers to fix, and then click the button. In this case there will be only 20 plays to be generated all of which, as you'll see
later, will contain the 3 fixed numbers. Here, the scenarios options listed will involve how many of the fixed numbers and how
many of the other selected numbers are winners. For example, if 2 of the fixed numbers and 3 of the other selected numbers are
winners, then 1 of the 20 tickets will match 5-of-6, 9 will match 4-of-6, and so forth.
Thegeneration part shouldn't pose any problem except how to select and fix the desired numbers. To select a number,
just click on it. To fix a number, click on an already selected number. To unselect a number, click on an already
fixed number. Thus, a cycle of clicks on a number will select, fix, and unselect it, respectively.
At this point, you can select the 9 numbers of our example and see the outcome. Also, you may fix 3 numbers, say,
5, 15, and 30, and click "Generate". Observe that all the generated combinations will contain 5, 15 and 30.
This full wheel generator can be used for any multi-number lottery game, with one set of numbers, as long as the total numbers to select
from (N) do not exceed 99, and n is 10 or less. This, we hope, will cover any such type of lottery game in the world.