# ToolsLotto5: Special upgrade to the lottery utility software for 5-number lotto games

## By Ion Saliu, Founder of Lotto Mathematics

ToolsLotto5, special upgrade to Util532, the lottery utility software that crunches the lotto-5 (drawing 5 winning lotto numbers).

This special upgrade to Util532, ToolsLotto5, has three new functions:
~ Triplets Rundown (3-number lotto groups);
~ Quadruplets Rundown (3-number lotto groups); ~ Generate lotto 5 combinations, with/without favorites, eliminate or not the least frequent groups.

The Triplets Rundown has some powerful capabilities:
~ calculates the frequency of every triplet in a 5-number lotto game;
~ sorts the lotto triplets by frequency in descending order;
~ creates a 'least triplets file' the same way as 'least pairings' for a 5-number lotto game.

The Quadruplets Rundown has some powerful capabilities:
~ calculates the frequency of every quadruple in a 5-number lotto game;
~ sorts the lotto quadruplets by frequency in descending order;
~ creates a 'least quadruplets file' the same way as 'least pairings' for a 5-number lotto game.

This is the main menu. You can see the same functions present in Util-532, plus the three new lotto functions. I will analyze here only the new functions (triplets and quadruplets), plus the most powerful of them all: 'G = Generate combos, favorites, (eliminate) leasts'.

For the rest of the functions, I will refer you back to the material that presents the entire collection of lottery utility software:

Triplets or triples: Groups of 3 lotto numbers

A lotto game such as '5 from 43' has a total of C(43, 3) = (43 * 42 * 41) / (1 * 2 * 3) = 12341 triplets.

I ran the frequency reporting for triplets using a real-drawing data file in Pennsylvania lottery, the 5-43 lotto game. The first frequency report is in sequential order, from
1-2-3 to 41-42-43.

```
Lotto-5 Triplets
Total pairings for 43 numbers: 12341
Data file analyzed: C:\LOTTERY\PA-5
Total drawings analyzed:  163

Lotto-5 Triplet         Total hits

1  2  3                   0
1  2  4                   0
1  2  5                   0
1  2  6                   0
1  2  7                   1
1  2  8                   0
1  2  9                   0
1  2  10                  1
....
39  40  43                1
39  41  42                0
39  41  43                0
39  42  43                0
40  41  42                0
40  41  43                0
40  42  43                0
41  42  43                0

```

The second report is sorted on frequency, in descending order, from the most frequent triplet to the least frequent.

```
SORTED Lotto-5 Triplets
Total pairings for 43 numbers: 12341
Data file analyzed: C:\LOTTERY\PA-5
Total drawings analyzed:  163

Lotto-5 Triplet         Total hits

5  17  42                 3
7  9  30                  3
14  34  35                3
17  21  31                3
20  37  38                3
1  14  42                 2
1  17  28                 2
....
39  41  43                0
39  42  43                0
40  41  42                0
40  41  43                0
40  42  43                0
41  42  43                0

```

Will you notice, please, something significant? Of course, my plea will fall on deaf ears, insofar as my googoos are concerned (fierce enemies). But they are insignificant in numbers and effect. My plea will be consequential to the overwhelming majority of guests and readers. My plea: Let's not overlook standard deviation. Clearly, the standard deviation is larger in the first lotto triple group, as compared to the last group! Something to always keep in mind. Remember the 1-2-3-4-5-6 lotto combination heated debates? I mean, such "scientific" debates are still steaming! Many people with real brains still aren't capable of distinguishing between probability and degree of certainty! How much clearer can I be...can any human be...

Quadruplets or quadruples: Groups of 4 lotto numbers

A lotto game such as '5 from 43' has a total of C(43, 4) = (43 * 42 * 41 * 40) / (1 * 2 * 3 * 4) = 123410 quadruplets.

I ran the frequency reporting for quadruplets using a real-drawing data file in Pennsylvania lottery, the 5-43 lotto game. The first frequency report is in sequential order, from
1-2-3-4 to 40-41-42-43.

```
Lotto-5 Quadruplets
Total quadruplets for 43 numbers: 123410
Data file analyzed: C:\LOTTERY\PA-5
Total drawings analyzed:  163

Lotto-5 Quadruplet      Total hits

1  2  3  4                0
1  2  3  5                0
1  2  3  6                0
1  2  3  7                0
1  2  3  8                0
1  2  3  9                0
1  2  3  10               0
....
38  41  42  43            0
39  40  41  42            0
39  40  41  43            0
39  40  42  43            0
39  41  42  43            0
40  41  42  43            0

```

The second report is sorted on frequency, in descending order, from the most frequent quadruplets to the least frequent 4-number groups.

```
SORTED Lotto-5 Quadruplets
Total quadruplets for 43 numbers: 123410
Data file analyzed: C:\LOTTERY\PA-5
Total drawings analyzed:  163

Lotto-5 Quadruplet      Total hits

1  20  26  40             2
3  9  11  38              2
17  21  30  31            2
1  3  7  9                1
1  3  7  30               1
1  3  9  30               1
....
38  41  42  43            0
39  40  41  42            0
39  40  41  43            0
39  40  42  43            0
39  41  42  43            0
40  41  42  43            0

```

Again, the standard deviation plays an important role. If the lotto data file is very large, the bias towards quadruplets with a normal standard deviation is accented. That normal standard deviation can be calculated only by the Fundamental Formula of Gambling (FFG). The parameter can be approximated as well.

Generate lotto 5 combinations, with/without favorites, eliminate or not the least frequent groups

I believe this is one of the most powerful functions in the lottery software business. Yes, other lotto software packages can count, albeit incompletely, number groups such as triplets and quadruplets. Question is, what is the user supposed to do with those frequencies? Do painstaking manual labor and try to put together on paper the most frequent lotto groups?

The main thing is to feed the frequency data to a program and let the software generate lotto combinations automatically. It's exactly what this new feature of ToolsLotto5 does: Generate lotto 5 combinations, with/without favorites, eliminate or not the least frequent groups.

This function replaces the outdated and unnecessary 'Odds and Random Numbers'. That relic of the 1990's software was superseded a few years ago by the online ActiveX controls that generate optimized lotto combinations (with filters based on standard deviation and deltas).

This new combination generating function has 5 subroutines:
1) generate lotto-5 combinations with NO favorite numbers;
2) generate combinations with ONE favorite lotto number;
3) generate lotto-5 combinations with TWO favorite numbers (a favorite lotto pair);
4) generate combinations with THREE favorite lotto numbers (a favorite triplet);
5) generate combinations with FOUR favorite lotto numbers (a favorite quadruple).

Each subroutine has its own multiple choices:
1.- do not eliminate any least frequent groups;
2.- eliminate the least (worst frequent) pairings;
3.- eliminate the least triplets;
4.- eliminate the worst quadruplets.

You can eliminate all the least groups, or combinations of them (e.g. only the least pairings and the triplets).

Here is the kicker. This lotto application offers incredible power, translated into an incredibly higher chance to hit that slippery lotto jackpot. I saw a few cases of '5 of 5' winners without favorite numbers and eliminating the least pairings and the least triplets. Some 40 to 60 lotto-5 combinations!

It is so much power that I was reluctant for a pretty long time. Shouldn't I stop distributing lottery software? Haven't I done way too much already? The danger now is the narrowing of the amount of combinations while enabling just very few filters. The danger is that several lotto players, in the same lottery jurisdiction, will set the same conditions and generate common sets of combinations. If just four or five players hit the top lotto prize, the disappointment could be huge!

I made a decision. I will release an incomplete version of ToolsLotto5. It will enable only the features present in ToolsLotto6. Exception: There is a special function named Pairings Rundown.

The new powerful function Generate lotto 5 combinations, with/without favorites, eliminate or not the least frequent groups is not enabled. The user won't get a single lotto combination.

Only the full version of ToolsLotto5 will enable the full lotto combination generators. The kicker: That application will be fee-based. Such power deserves much more that that meager membership fee to download my free software.

The FREE is too huge compared to the membership fee. It is so meager that my haters found the cheapest way to disrupt my activity, even to cause some wasting of precious time. The refund from PayPal would amount to a loss for me! So, I offer free software to everybody only to lose money! You see, the enemies don't think that their business profile would suffer because they dispute a small amount of money by requesting a refund from PayPal. Of course, there are negative consequences for such petty criminals. I fight them off with the strongest of measures. But the thing is I have to waste some precious time!

This piece of lotto-5 software has been greatly enhanced for registered members only: SoftwareLotto5. It is part of the best 5-number lotto software package ever: Bright5. Read: Lotto Software for Singles, Pairs, Triplets, Quadruplets, Quintuplets.

Lottery links and resources at this web site

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