Vtracs for 6/49?

[PAB]

Hi Icewynd,

The reason for this is as follows:
Although the Last Digit calculation for this exercise is based on numbers 1 to 24, this is NOT the usual scenario of what the Last Digit distribution represents. This is obviously because we are using a hybrid system of numbers called Vtracs. The impact of this is that we are NOT using a straight set of non-replacement numbers from 1 to 24, because any Vtrac number can be repeated within the same combination.

This is reflected in the Itemised Last Digit Numbers Analysis For ALL Draws where there is an entry of 4 which would NOT be included if we were using a straight set of non-replacement numbers from 1 to 24.

Have you had a chance to look at the latest installment of the ON 49 Vtracs program yet, and if so, what are your thoughts or comments on it?

Regards,
PAB


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12:45, restate my assumptions.
Mathematics is the language of nature.
Everything around us can be represented and understood through numbers.
If you graph the numbers of any system, patterns emerge. Therefore, there are patterns everywhere in nature.

 

[Icewynd]

Hi PAB,

Welcome to the world of Vtracs, where the impossible happens every day!

Yes, the situation with 3 and 4 same last digits is kinda weird, but it is also rare.

The most common situation, encompassing fully 50% of draws is for there to be 5 last digits (LD) missing and 5 present. The most common pattern is 5 missing LDs, 4 LDs appearing once and 1 duplicate LD.

The second most common situation (27% of draws) is for 6 LDs to be missing, with 6 missing, 2 single and 2 double being the most common pattern. Also common is 6 missing, 3 single and 1 double.

The third most common, in 21% of draws, is for there to be 4 LD missing and 6 unique LD present.

These 3 patterns cover 98% of draws.

Obviously LDs 1,2,3 and 4 have an advantage, since they appear 3 times in the set of Vtracs, while endings 5,6,7,8,9 and 0 only appear twice.

Since the Vtrac LDs form nice appearance and missing streaks, this is a feature of the Vtracs that can be exploited to choose numbers to play. If you are able to correctly guess the 5 LDs that will appear, you can eliminate up to half of the number field.

 

[PAB]

Welcome to the world of Vtracs, where the impossible happens every day!

Yes, the situation with 3 and 4 same last digits is kinda weird, but it is also rare.

Yes granted.

I have actually calculated statistics for ALL criteria for ALL the versions according to the C(24,6) combinations with regard to ACTUAL and EXPECTED appearances.
I will post these individually when we have covered the rest of the criteris for the Vtracs.
I have NOT posted them with each version because I think the basis for this exercise is to agree and be comfortable with the setup and structure of the different criteria and analysis first.
When you are happy with the LAST DIGIT structure and analysis I will post v8.0 which includes SUM TOTAL.

Regards,
PAB


-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-
12:45, restate my assumptions.
Mathematics is the language of nature.
Everything around us can be represented and understood through numbers.
If you graph the numbers of any system, patterns emerge. Therefore, there are patterns everywhere in nature.

 

[Icewynd]

When you are happy with the LAST DIGIT structure and analysis I will post v8.0 which includes SUM TOTAL[/B

 

[Icewynd]

When you are happy with the LAST DIGIT structure and analysis I will post v8.0 which includes SUM TOTAL.

Yes, I think this is great! Lets forge ahead

 

[PAB]

Hi Icewynd,

Yes, I think this is great! Lets forge ahead .

GREAT!

Here is v8.0 which includes SUM TOTALS.

MediaFire - ON 49 Vtracs - v8.0

http://www.mediafire.com/view/?ss2trg44sj6dnrd

BTW, I have updated the ODDS & EVENS sheet slightly to include the distribution of ODD & EVEN numbers.

Please let me know what you think!

Regards,
PAB


-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-
12:45, restate my assumptions.
Mathematics is the language of nature.
Everything around us can be represented and understood through numbers.
If you graph the numbers of any system, patterns emerge. Therefore, there are patterns everywhere in nature.

 

[Icewynd]

MediaFire - ON 49 Vtracs - v8.0

http://www.mediafire.com/view/?ss2trg44sj6dnrd

Unfortunatelty, I am unable to download the file right now -- Mediafire can't load it. This may be a busy time for them, I'll try again later.

 

[PAB]

Hi Icewynd,

Unfortunatelty, I am unable to download the file right now -- Mediafire can't load it. This may be a busy time for them, I'll try again later.

That's strange.

I have just downloaded it and it works fine.
Perhaps you will have better luck the next time you try to download it!

Regards,
PAB


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12:45, restate my assumptions.
Mathematics is the language of nature.
Everything around us can be represented and understood through numbers.
If you graph the numbers of any system, patterns emerge. Therefore, there are patterns everywhere in nature.

 

[Icewynd]

OK, got it now.

The median for the sums is 77 and half of them fall within 10 of the median, i.e. sums 67-87 account for 49% of all sums.

Sums 57-97 account for 83% of all sums.

Odd/Even distribution is a very helpful addition to the file.

 

[PAB]

Hi Icewynd,

When you are happy with the SUM TOTALS structure and analysis I will post v9.0 which includes REPEATED NUMBERS.

Have FUN!

Regards,
PAB


-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-
12:45, restate my assumptions.
Mathematics is the language of nature.
Everything around us can be represented and understood through numbers.
If you graph the numbers of any system, patterns emerge. Therefore, there are patterns everywhere in nature.

 

[Icewynd]

Hi Icewynd,

When you are happy with the SUM TOTALS structure and analysis I will post v9.0 which includes REPEATED NUMBERS.

Very happy! I can't think of anything further that needs to be done with version 8.0.

 

[PAB]

Hi Icewynd,

The median for the sums is 77...

I CONCUR!

For a C(24,6) Lotto the MOST number of combinations are for the SUM TOTAL of 75 with 3,486 combinations.

Anyway, here is v9.0 which includes REPEATED NUMBERS.

MediaFire - ON 49 Vtracs - v9.0

http://www.mediafire.com/view/?kzirwl4rsbqz5bd

Please let me know what you think!

Regards,
PAB


-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-
12:45, restate my assumptions.
Mathematics is the language of nature.
Everything around us can be represented and understood through numbers.
If you graph the numbers of any system, patterns emerge. Therefore, there are patterns everywhere in nature.

 

[Icewynd]

Hi Icewynd,


[Anyway, here is v9.0 which includes REPEATED NUMBERS.

MediaFire - ON 49 Vtracs - v9.0

http://www.mediafire.com/view/?kzirwl4rsbqz5bd

Please let me know what you think!

More great work PAB. Thanks for putting this together!

This analysis gives the appearance of lots of numbers repeating from previous draws, however the counts are skewed upwards by repeating numbers. This also occurs in regular lotto anlysis, where a number may hit several times in the previous draws, but it is compounded here by the problem of repeating Vtracs (when both numbers associated with the Vtrac hit together).

This gives bizzare results, such as having up to 16 of the 6 drawn numbers predicted by the prior 5 draws. In fact, if you count unique numbers, 5 or 6 happen about half the time. The median result is 7 and draws with results above the median, which will happen 50% of the time, often contain 4 or 5 (and sometimes all 6) of the drawn Vtracs in the prior 5 draws.

I don't have a solution to this problem, but am highlighting it as a caution to anyone who is using the file. It would be a good idea to compare these results with the skip chart to get an idea of how long the numbers are typically out before they hit.

It would be useful to have a count of the unique numbers that appear in the prior draws. Am I asking for the moon here?

Could you repeat the analysis with the Bonus number included? I found that often the missing 5th or 6th number would be found in the Bonus group. It would be good to have both for comparison purposes.

Again, THANKS for all your work on this project!

 

[PAB]

Hi Icewynd,

This analysis gives the appearance of lots of numbers repeating from previous draws, however the counts are skewed upwards by repeating numbers. This also occurs in regular lotto anlysis, where a number may hit several times in the previous draws, but it is compounded here by the problem of repeating Vtracs (when both numbers associated with the Vtrac hit together).

I think the solution here is to ONLY include unique Vtrac numbers once, regardless of how many times they appear within an individual combination.
This obviously leads to the fact that we are NOT comparing TRUE data comparisons because we are using a HYBRID numbers system of Vtracs.

I don't have a solution to this problem, but am highlighting it as a caution to anyone who is using the file. It would be a good idea to compare these results with the skip chart to get an idea of how long the numbers are typically out before they hit.

I think as far as your comment above is concerned you need to elaborate more on your thinking and possible structure, especially with regard to the ...compare these results with the skip chart to get an idea of how long the numbers are typically out before they hit.

It would be useful to have a count of the unique numbers that appear in the prior draws. Am I asking for the moon here?

This is quite easy to accomplish.

Could you repeat the analysis with the Bonus number included? I found that often the missing 5th or 6th number would be found in the Bonus group. It would be good to have both for comparison purposes.

Are you asking for the analysis to produce UNIQUE numbers NOT only for Vtrac numbers EXCLUDING the BONUS number but also INCLUDING the BONUS number?

Once you have clarified the above I will re-structure the file accordingly.

Regards,
PAB


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12:45, restate my assumptions.
Mathematics is the language of nature.
Everything around us can be represented and understood through numbers.
If you graph the numbers of any system, patterns emerge. Therefore, there are patterns everywhere in nature.

 

[Icewynd]

I think the solution here is to ONLY include unique Vtrac numbers once, regardless of how many times they appear within an individual combination.

Maybe we need to define what the goal of this analysis is. If it is to find out how recently the drawn Vtracs were played, then the answer is on the Skips tab (see below). Therefore, we have an opportunity to do something different here, perhaps count repeats from draw to draw and repeats within a draw. Maybe some of the other people reading this thread could chime in with what they think would be useful?

This obviously leads to the fact that we are NOT comparing TRUE data comparisons because we are using a HYBRID numbers system of Vtracs.

Exactly! Therefore I think we should embrace the nature of the hybrid while we are in Vtrac world. For example, how often do the Vtracs repeat within a draw? This would be information worth knowing when making combos.

I think as far as your comment above is concerned you need to elaborate more on your thinking and possible structure, especially with regard to the ...compare these results with the skip chart to get an idea of how long the numbers are typically out before they hit.

What I am referring to here is the "Hits by Skips Chart Based on INDEX Data" on the Skips tab, columns AI:AU. If we sum across columns (result in column BE) we can see what the skip of each drawn Vtrac was before it hit. So we can determine, for example, that if we play ALL the Vtracs from the last 5 draws we are guaranteed to have at least 3 winning numbers, and 22% of the time we will have all 7 numbers (6+B). This information could easily be summarized in a chart of Last draws by number of draws with 0-7 winning numbers. Eg: AI, SUM(AI:AJ)...SUM(AI:AU) by COUNTIF(BE17:BE316,n) where n=0,1,2...7.

Are you asking for the analysis to produce UNIQUE numbers NOT only for Vtrac numbers EXCLUDING the BONUS number but also INCLUDING the BONUS number?

Yes. I consider the Bonus numbers to be the equivalent of drawn numbers for most analysis as they often move from the bonus number to the set of drawn numbers. But, if the analysis is done both ways it allows us to see the contribution of the Bonus numbers.

Please let me know what you think of the above. This is a new way of looking at the numbers, and I certainly don't claim to have all the answers.

 

[PAB]

Hi Icewynd,

Therefore, we have an opportunity to do something different here, perhaps count repeats from draw to draw and repeats within a draw.

I have supplied the count of repeats for 1, 2, 3, 4 & 5 draws back.

I think we should embrace the nature of the hybrid while we are in Vtrac world. For example, how often do the Vtracs repeat within a draw? This would be information worth knowing when making combos.

I like the idea of repeats within a draw and I will produce an analysis accordingly.

I consider the Bonus numbers to be the equivalent of drawn numbers for most analysis as they often move from the bonus number to the set of drawn numbers. But, if the analysis is done both ways it allows us to see the contribution of the Bonus numbers.

I have updated the REPEATED NUMBERS analysis with regard to UNIQUE numbers within each combination for EXCLUDING and INCLUDING the BONUS number which I will post shortly.

What I am referring to here is the "Hits by Skips Chart Based on INDEX Data" on the Skips tab, columns AI:AU. If we sum across columns (result in column BE) we can see what the skip of each drawn Vtrac was before it hit. So we can determine, for example, that if we play ALL the Vtracs from the last 5 draws we are guaranteed to have at least 3 winning numbers, and 22% of the time we will have all 7 numbers (6+B). This information could easily be summarized in a chart of Last draws by number of draws with 0-7 winning numbers. Eg: AI, SUM(AI:AJ)...SUM(AI:AU) by COUNTIF(BE17:BE316,n) where n=0,1,2...7.

I will have a look at this in more detail later on.

Regards,
PAB


-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-
12:45, restate my assumptions.
Mathematics is the language of nature.
Everything around us can be represented and understood through numbers.
If you graph the numbers of any system, patterns emerge. Therefore, there are patterns everywhere in nature.

 

[PAB]

Hi Icewynd,

I have updated the REPEATED NUMBERS analysis with regard to UNIQUE numbers within each combination for EXCLUDING and INCLUDING the BONUS number which I will post shortly.

Here is v9.01 which includes the UPDATED UNIQUE REPEATED NUMBERS.

MediaFire - ON 49 Vtracs - v9.01

http://www.mediafire.com/view/?kk3io4aqcoymih6

Please let me know what you think!

Regards,
PAB


-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-
12:45, restate my assumptions.
Mathematics is the language of nature.
Everything around us can be represented and understood through numbers.
If you graph the numbers of any system, patterns emerge. Therefore, there are patterns everywhere in nature.

 

[PAB]

Hi Icewynd,

It has been a couple of days since I posted the updated MediaFire - ON 49 Vtracs - v9.01 and wondered if you have had time to look at it and what you think?
Once you are satisfied I will post another update v9.02 which includes the REPEATED Vtrac numbers within a combination.

Regards,
PAB


-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-
12:45, restate my assumptions.
Mathematics is the language of nature.
Everything around us can be represented and understood through numbers.
If you graph the numbers of any system, patterns emerge. Therefore, there are patterns everywhere in nature.

 

[Icewynd]

Hmmmmm..."Mediafire is temporaily unavailable".

Will look at the file as soon as I can get it.

 

[Icewynd]

OK, got it!

This is very nice! I especially like how you handled the analysis of duplicates within a draw -- the blanks make it very clear where this is occurring. I also like the option of seeing the entire analysis with and without bonus numbers. Surpisingly, the bonus number didn't make as big a difference as I would have thought.

BTW, I have come to think of the two types of repeats in the Vtrac system as Vertical Repeats -- the normal draw-to-draw repeats that occur in Lotto -- and Horizontal Repeats -- the repetion of one or more Vtracs within a given draw.

Your analysis shows that no Horizontal Repeats are the usual situation. 70% of draws without bonus and 59% of draws including the bonus show no horizontal repeating Vtracs.

One Vtrac repeats (i.e. both numbers associated with the Vtrac hit) in 27% of draws, not considering the bonus, or 34% of draws when the bonus number is included. So, every third or fourth draw (depending on whether or not the bonus is included) will have only 5 Vtracs, with one of them repeated. These draws also tend to cluster, with 10 or 15 draws with no horizontal repeats followed by a group of draws where horizontal repeats happen every 1 or 2 draws.

Two Vtrac repeats are quite rare, ocurring in 3% of draws without bonus, or 7% of draws with the bonus.

Looking back, I see that the workplan for this project is almost complete, with only adjacents left to do.

Once again, THANKS PAB!