Abbreviated Lottery Wheel Analyzer

Background

This lottery tool analyzes an abbreviated lottery wheel to list the guarantees and chances of getting certain numbers correct for various 'if conditions' of drawn numbers. Recall that abbreviated lottery wheels, which are mathematically represented as C(v,k,t,m)=b, are designed to guarantee t numbers if m are within the drawn numbers. This tool answers the question 'what if other than m numbers are correct?' and what are the chances of getting 2,3,4, etc., and even the jacckpot.

The wheel will be represented by the following notation:

K-V in B

where,

K = game number (usually 4 to 7),
V = how many numbers to wheel,
B = number of plays of the wheel.

For example, an abbreviated wheel for a 6-number game (such as 6/49 lotto) which wheels 12 numbers, and with a wheel size of 6 plays, will be represented by 6-12 in 6. Then, this tool will attempt to identify the wheel in the form
K-V, T if M in B or C(v,k,t,m)=b,
where T = guaranteed win, and M = if how many correct.

If T, M, and K have the same value, that is, T = M = K, then the wheel is a full wheel and is best analyzed by using our Full wheel Generator which encorporates the analysis in its "Scenario" option.

Limitations

Since our algorithm generates all possible combinations of the V numbers into groups of K, K-1, etc., it comsumes a lot of computer memory and processing time, and such online programs may overload, or even crash your computer as well as our server. In order to avoid this, we have limitted the size of the data to be processed to a certain value which depends on the V and K values of the wheel you entered. So, if your wheel is too big to check, some or all of the checking may be skipped with a message.

Another limitation is that the program does not recognize numbers greater than 62. Thus, while you can include any number in the wheel, none should be greater than 62.

Data Entry

All you have to enter is the list of your wheel where each number is separated by a comma(,), a hyphen(-), or a space( ). The program then identifies the other parameters (K, V, and B); checks for errors and asks for confirmation to proceed. The wheel is then checked for 'if K, K-1, K-2, etc. correct'. The number of times that each one of the V numbers appears will also be listed to give you an idea of how evenly the numbers are distributed, or not. Above all, the program identifies the wheel in the form of
K-V, T if M in B and C(v,k,t,m)=b. The best identification will be shown in red.
As an example, you may automatically enter the data for the above example (6-12 in 6) by clicking this button ->

Messages and Results