Abbreviated Lottery Wheel Checker

Background

This lottery tool checks the validity of an abbreviated lottery wheel.

Abbreviated wheels are mathematically expressed as: C(v,k,t,m)=b

Or, by our notation as:

where,

• K = game number (usually 4 to 7),
• V = how many numbers to wheel,
• T = guaranteed win,
• M = if how many correct,
• B = number of plays of the wheel.

For example, an abbreviated wheel for a 6-number game (such as 6/49 lotto) which wheels 10 numbers to guarantee a 4-of-6 if 5 of the the 10 numbers are correct, and with a wheel size of 7 plays, will be represented by 6-10, 4 if 5 in 7.

For a detailed description please see Abbreviated Wheels.

Limitations of this tool

Since our algorithm generates all combinations of the V numbers into groups of M, it comsumes a lot of computer memory and processing time when it encounters high values of these parameters, 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 combinations to be processed to 100,000. That is, the the tool checks wheels with _vC_m of less than 100,000. In fact, all this is just for your information; you don't need to calculate the combinations. Just enter your data and the program will take care of everything, including alerting you of any errors and also if your wheel is too big to process.

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

Data Entry

All you have to enter is T, M, and the list of your wheel where each number is separated by a comma(,), 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 will be processed and then tagged as PASSED or FAILED depending on whether it satisfies the claim (T if M) or not. 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. As an example, you may automatically enter the data for the above example (6-10, 4 if 5 in 7) by clicking this button -> Example