Kansas Lottery Pick 3 Combinations Generator

This is a re-designed utility to generate all the combinations of a selected set of Kansas Lottery Pick 3 numbers, with the option of fixing some digits as well as pairs. It also allows you to extract several Pick 3 patterns such as even-odds and high-low, in addition to filtering out by sums or consecutivity. If this is the first time you are using this tool, we strongly recommend that you read the Instructions on how to use the Kansas Lottery Pick 3 Combinations Generator further down on this page.

Instructions for the Kansas Lottery Pick 3 Combinations Generator

This tool generates Kansas Pick 3 combinations of boxes (3-digit numbers without regard to their arrangement). Basically, two steps are involved: 1, make your selections on the "Selection Panel" and, 2, click on the "List Results" button. The generated numbers will be listed under the "Results Panel", which also contains the total numbers generated, the odds (and probability) of winning Pick 3 with the generated set, the frequency of the digits of the generated numbers, and the summary of selection criteria.

There are eight selection criteria most with All and None buttons that will facilitate some selections. For example, if you want to list all numbers with a sum of 13, you have to unselect all the other sums one by one. Alternatively, a faster way would be to click on None and then click on 13. Note that you cannot leave all options of a criterion unselected.

The "Summary of Selection Criteria" displayed at the end of the "Results Pannel" will show in red whatever modifications you have made on the default values.

Every selection you make is appended to your previous selection. So, the results listed will always incorporate all previous choices. To start all over again, or to return to the initial default selections, click on the Reset All button at the bottom.

Initially, all the 220 possible Pick 3 combinations will be listed, with all checkboxes checked. Then, you can use one or more of the following criteria to filter out your desired set of Kansas Pick 3 list.

1. Digit Selection

   By default, combinations of all the Digits 0123456789 are considered. If you want not to include some Pick 3 digits, you can do so by deleting them. To generate all combinations of the digits 135689, for example, just enter them and click on the "List Results" button. If you want futher filtering such as non-repeating digits, go to the selection labeled 3. Repeating or not and unselect Doubles and Triples. If you still want to impose more conditions, such as Pick 3 sums, go ahead do it; note that at some point you may end up with no numbers generated if you specify a set of incompatible conditions.

2. Key (fixed) Digit/Pair Selection

   Sometimes, you may wish to generate numbers that must contain a digit or a pair. For example, if you feel that 7 is due in the Kansas Pick 3, then enter 7 in the box to generate Pick 3 numbers that must contain 7. The same goes for a pair; just enter 17 to geneate all Pick 3 that contain 17. There is still more hosepower to this tool - you may impose "either or" condition by separating your entries by commas. If you enter "1,7", for instance, only numbers that contain either 1 or 7 will be listed. In fact, you may enter more than two digits and pairs such as "1,7,08,35" to list the numbers that contain at least one of 1, 7, 08, or 35.

3. Repeating or not

   Here, you may choose to list only Pick 3 non-repeating numbers or doubles or both, and so on.

4. Even-Odd

   If you want 1, 2, or all 3 digits of Pick 3 to be even or odd, then use this selection criterion.

5. Low-High

   If you want 1, 2, or all 3 digits of Pick 3 to be low (0,1,2,3,4) or high(5,6,7,8,9), then use this selection criterion.

6. Sums

   Sums are simply the sum of the three Pick 3 digits. Some Pick 3 sums are more likely to be drawn than others simply because they cover more numbers. If you want to filter out numbers with certain sums, then use this option.

7. Root Sums

   The Root Sum is the sum of the sum. For example, the number 456 has a sum of 15, thus its Root Sum is 6 (i.e, 1+5). Root Sums have the interesting characteristic of distributing all the Pick 3 numbers into nearly equal groups, that is, except Root Sums of 0, all the rest have nearly equal Root Sums (24 and 25). So, unlike Sums, Root Sum have about equal chances of being drawn. This will allow the player to choose members of a hot or cold Pick 3 Root Sum.

8. Consecutivity

   The numbers with obvious consecutive digits are 012, 123, 234, 345, 456, 567, 678, and 789. If we analyze the frequency of digits in this set, we will see that 0 and 9 appear only once, 1 and 8 appear twice, while the rest appear three times. In order to have an equal frequency of all the digits, we have to view the arrangement of the digits as circular, as shown in the figure, rather than linear as 0-1-2-3-4-5-6-7-8-9. As can be seen on the figure, 890 and 901 are also consecutive. So, our list of numbers with consecutive digit has to include 089 and 019.

   What we refer to here as consecutivity is "within how many digits a number is spread". The numbers listed above are consecutive within 3 digits therefore have a consecutivity of 3. Only triples have a consecutivity of 1, and only doubles can have a consecutivity of 2. In many case, the consecutivity of a number is the difference between the highest and the lowest digts plus 1. However, since we are using the circular arrangement of the digits, the actual consecutivity is determined by the shortest distance that includes all the three digits along the circular path.

   To illustrate, consider 146 and 149. Both of these numbers are consecutive within 6 digits. It is obvious for 146 since (6-1)+1 = 6, but not for 149. Here is how you determine the consecutivity of 149 (or any other number). Start from one of the digits and go clockwise until you have encountered both other digits on your way. If you start from 1 and go to 9 you'll cover 9 digits; if you start from 4 and go to 1 you'll cover 8 digits; if you start from 9 and go to 4 you'll cover 6 digits. So, 149 is consecutive within 6 since the last one is the shotest path.

   Note that the digits are equally distributed within a given consecutivity. For instance, for a consecutivity of 5, all the digits of the generated numbers appear 15 times.

Finally, if you still want to use the old tool, click here -> Old Kansas Pick 3 Combinations Generator