Economy class Belgium Member #123700 February 27, 2012 4035 Posts Offline

Posted: May 19, 2013, 4:46 pm - IP Logged

Pick 6, 40 numbers, the occurences

3838380 combinations

pct.\ld

ld

ld

ld

ld

ld

ld

0,014%

4

2

0,150%

4

1

1

0,019%

3

3

1,801%

3

2

1

5,602%

3

1

1

1

0,675%

2

2

2

18,908%

2

2

1

1

50,421%

2

1

1

1

1

22,409%

1

1

1

1

1

1

Explanation for the table: first row, 4 ld's x with 2 ld's y, happen 0.014 percent of the time. Half of the time you find two same last digits and all the other last digits are distinct.

The percentages were mathematically calculated, not computered.

NY State United States Member #92609 June 10, 2010 3707 Posts Offline

Posted: May 19, 2013, 6:07 pm - IP Logged

Quote: Originally posted by SergeM on May 19, 2013

Pick 6, 40 numbers, the occurences

3838380 combinations

pct.\ld

ld

ld

ld

ld

ld

ld

0,014%

4

2

0,150%

4

1

1

0,019%

3

3

1,801%

3

2

1

5,602%

3

1

1

1

0,675%

2

2

2

18,908%

2

2

1

1

50,421%

2

1

1

1

1

22,409%

1

1

1

1

1

1

Explanation for the table: first row, 4 ld's x with 2 ld's y, happen 0.014 percent of the time. Half of the time you find two same last digits and all the other last digits are distinct.

The percentages were mathematically calculated, not computered.

Good to know information Serge. Thanks!

I'll definitely play two numbers on my lines that have the same last digit.

Am I correct in assuming that single digit numbers (0,1,2,3,4,5,6,7,8, & 9) were used in your calculations?

In other words, the last digit in the number 2, is 2.

About playing the lottery -- You will lose more than you win. Until you hit a jackpot. Then everything changes!

bgonÃ§alves Brasil Member #92564 June 9, 2010 2124 Posts Offline

Posted: May 19, 2013, 6:32 pm - IP Logged

Hello, give, you can use as if it were two endings in pick3 (final digit of the number 0-9) oo fanstastico. It has the same difficulties and weak point, as if it were A pick3, although the drawing is with all balls joints, then a good system And pairs or three digits pick3, can be used to predict, since apart from the front of the number, ranging from 0 to 4, and has positions (and when viewed mounted or increasing order) Tai to see a good system, 40/6 into two parts (initial and final digit digit)

United States Member #130795 July 25, 2012 80 Posts Offline

Posted: May 19, 2013, 11:22 pm - IP Logged

Quote: Originally posted by GiveFive on May 19, 2013

Good to know information Serge. Thanks!

I'll definitely play two numbers on my lines that have the same last digit.

Am I correct in assuming that single digit numbers (0,1,2,3,4,5,6,7,8, & 9) were used in your calculations?

In other words, the last digit in the number 2, is 2.

Yes, the last digit of the number 2 is 2. But no, Serge is not talking about just single-digit numbers 0 through 9. He is talking about a 6/40 lotto game (like NY Sweet Million, as his subject lines says) where we choose any 6 from 1 through 40. So the group 10,20,30,40 all end in 0; 1,11,21,31 all end in 1; 2,21,22,32 all end in 2, etc. Note that all 5 groups have 4 elements. That makes the combinatorial calculation relatively easy.

I think a 6/49 lotto is more common; but the relative percentages are similar. And I prefer to show the actual number of combinations as well as percentages, for those who prefer to avoid any rounding error. See the table below.

(Compare the totals with COMBIN(40,6) and COMBIN(49,6) in Excel.)

Note that a 6/49 lotto has an additional pattern, 5+1; that is, 5 numbers with the same last digit, and 1 number with a different last digit. Also, note that the group 10,20,30,40 has 4 elements, but the other groups have 5 elements (e.g. 1,11,21,31,41). That makes little difference for players; but it makes the combinatorial calculation more interesting.

My numbers are also "mathematically calculated", not counted by an exhaustive computer algorithm. But I don't know what difference that makes. Both are equally good methods, IMHO.

If anyone is interested in the combinatorial calculation, I would be happy to post some examples or the complete set. Or see the calculations described in http://www.lotterypost.com/thread/255827/2904841. They are for "poker" patterns; but it might give you some idea of the calculation. Also see the caveat about how to use such patterns ("It is tempting to think ...").

(Note: In that posting, I believe I use terms like "quad" differently from what is common among lotto aficionados. I mean: 4 numbers in the same "teen", e.g. 11,13,17,19.)

Economy class Belgium Member #123700 February 27, 2012 4035 Posts Offline

Posted: May 20, 2013, 10:35 am - IP Logged

Quote: Originally posted by mathhead on May 19, 2013

Yes, the last digit of the number 2 is 2. But no, Serge is not talking about just single-digit numbers 0 through 9. He is talking about a 6/40 lotto game (like NY Sweet Million, as his subject lines says) where we choose any 6 from 1 through 40. So the group 10,20,30,40 all end in 0; 1,11,21,31 all end in 1; 2,21,22,32 all end in 2, etc. Note that all 5 groups have 4 elements. That makes the combinatorial calculation relatively easy.

I think a 6/49 lotto is more common; but the relative percentages are similar. And I prefer to show the actual number of combinations as well as percentages, for those who prefer to avoid any rounding error. See the table below.

(Compare the totals with COMBIN(40,6) and COMBIN(49,6) in Excel.)

Note that a 6/49 lotto has an additional pattern, 5+1; that is, 5 numbers with the same last digit, and 1 number with a different last digit. Also, note that the group 10,20,30,40 has 4 elements, but the other groups have 5 elements (e.g. 1,11,21,31,41). That makes little difference for players; but it makes the combinatorial calculation more interesting.

My numbers are also "mathematically calculated", not counted by an exhaustive computer algorithm. But I don't know what difference that makes. Both are equally good methods, IMHO.

If anyone is interested in the combinatorial calculation, I would be happy to post some examples or the complete set. Or see the calculations described in http://www.lotterypost.com/thread/255827/2904841. They are for "poker" patterns; but it might give you some idea of the calculation. Also see the caveat about how to use such patterns ("It is tempting to think ...").

(Note: In that posting, I believe I use terms like "quad" differently from what is common among lotto aficionados. I mean: 4 numbers in the same "teen", e.g. 11,13,17,19.)

The sum of the relative chances shows a difference of 1/10000 due to the precision.

The groups of last digits for Sweet Million are distinct quads.

The combinatorial calculation is not that easy for everyone.

Last digits can be perceived without programming.

This makes a huge difference for the player.

6/49 is not perfect for last digit, so you are not allowed to compare 6/49 to 6/40.

If you want to compare the calculation to pick 3, you have to think boxed as in lotto the order does not matter for the payout.

Comparable lotto games are x/20, x/30, x/40, ... x/80.

Dallas, Texas United States Member #4549 May 2, 2004 1719 Posts Online

Posted: May 20, 2013, 12:48 pm - IP Logged

Kudos SergeM! This is, without doubt, the most interesting idea I've seen on Lottery Post in quite some time.

My hats off to you. It som impressed me I went ahead and worked it out for the Texas 2Step. The left side of the chart is the hits in the overall 4/35 matrix. Under Pos X denotes a hit; 0 denotes a miss.

The right side of the chart is the same for the actual drawings. The totals are below the chart. NOTE: To say Quads 5 hits make up .01% is stretching it a bit. The percentage is more like 0.0000954%. Of course, Excel rounds up to the nearest two decimal places.

We can see the drawings are following the matrix. Trips should hit 1 to 2 times per 100. Pairs should hit 37 to 38 times per hundred. Good information to know when choosing back digits.

Now to work up a hit and skip chart.

Thanks you, Sir! Very insightful! Very worthwhile (to me at least).

G

(Crap! LP gremlins strike again. Meant to give you 5 STARS for this. Sorry!)

My greatest accomplishment is teaching cats about Vienna Sausage. When I need a friend, all I need do is walk outside, pop open a can, and every little critter in the neighborhood drops by to say "Hi!"

Economy class Belgium Member #123700 February 27, 2012 4035 Posts Offline

Posted: May 20, 2013, 1:36 pm - IP Logged

Quote: Originally posted by garyo1954 on May 20, 2013

Kudos SergeM! This is, without doubt, the most interesting idea I've seen on Lottery Post in quite some time.

My hats off to you. It som impressed me I went ahead and worked it out for the Texas 2Step. The left side of the chart is the hits in the overall 4/35 matrix. Under Pos X denotes a hit; 0 denotes a miss.

The right side of the chart is the same for the actual drawings. The totals are below the chart. NOTE: To say Quads 5 hits make up .01% is stretching it a bit. The percentage is more like 0.0000954%. Of course, Excel rounds up to the nearest two decimal places.

We can see the drawings are following the matrix. Trips should hit 1 to 2 times per 100. Pairs should hit 37 to 38 times per hundred. Good information to know when choosing back digits.

Now to work up a hit and skip chart.

Thanks you, Sir! Very insightful! Very worthwhile (to me at least).

G

(Crap! LP gremlins strike again. Meant to give you 5 STARS for this. Sorry!)

You could work out the chart positionally by order of drawing or order low to high, as offered by Texas lottery.

For 35 numbers you have the same problem as for 49 numbers, it has a rest after division by ten.

If I get a rating of less than five stars by OnlyMoney, I will stop posting for a year at least.

If any comment is deleted again, I do the same. Some people here have sensible toes.

bgonÃ§alves Brasil Member #92564 June 9, 2010 2124 Posts Offline

Posted: May 20, 2013, 4:52 pm - IP Logged

Hello, mathead, wholookat thisexampleinitial and finaldigit Initialdigitsof49/6=0,1,2,3,4initialdigits Agoralthelastdigithigh=5,6,7,8,9, usuallya49/6we have twodigitsin this High grouplastdigit=5,6,7,8,9 Example466=20,24,40,43,48,45sweepstakesinthelastdigitgivenhigh5.8(two digits) The otherinitial andend to completethe numbergivenwithin0,1,2,3,4 20,24,40,43, then we have4numberswithin0,1,2,3,4, twohigh=5.8 In totalthe draw=466had sixdigits(addingthe digitsstart and end) So we haveto seehow many numbersofthe combinationshould beat0,1,2,3,4, with twoof the High5,6,7,8,9, uamto givegoodreduction andseethe ups5,6,7,8,9, arrears ok. Orfilters, not to cross0,1,2,3,4allthiswith only twoother group5,6,7,8,9 (Sometimesthis groupof3digitshigh).

bgonÃ§alves Brasil Member #92564 June 9, 2010 2124 Posts Offline

Posted: May 20, 2013, 5:07 pm - IP Logged

Quote: Originally posted by dr san on May 20, 2013

Hello, mathead, wholookat thisexampleinitial and finaldigit Initialdigitsof49/6=0,1,2,3,4initialdigits Agoralthelastdigithigh=5,6,7,8,9, usuallya49/6we have twodigitsin this High grouplastdigit=5,6,7,8,9 Example466=20,24,40,43,48,45sweepstakesinthelastdigitgivenhigh5.8(two digits) The otherinitial andend to completethe numbergivenwithin0,1,2,3,4 20,24,40,43, then we have4numberswithin0,1,2,3,4, twohigh=5.8 In totalthe draw=466had sixdigits(addingthe digitsstart and end) So we haveto seehow many numbersofthe combinationshould beat0,1,2,3,4, with twoof the High5,6,7,8,9, uamto givegoodreduction andseethe ups5,6,7,8,9, arrears ok. Orfilters, not to cross0,1,2,3,4allthiswith only twoother group5,6,7,8,9 (Sometimesthis groupof3digitshigh).

Hello, belowthe array with thenumbersof the25digitcombination ofinitial and final 0,1,2,3,4 0 0 0 1 0 2 0 3 0 4 1 0 1 1 1 2 13 14 2 0 2 1 2 2 2 3 2 4 3 0 3 1 3 2 3 3 3 4 40 41 4 2 4 3 4 4 Sometimesasweepstakesoftwo consecutivesample=12.13or33.34, here needsfilters, not to play with thenumbers25, two orthreeclearlackofhigh5,6,7,8,9 Butwe havea goodbase reduction

NY State United States Member #92609 June 10, 2010 3707 Posts Offline

Posted: May 20, 2013, 8:27 pm - IP Logged

I made a spreadsheet in Excel that shows how many times any given pair of last digit numbers were drawn together. Unfortunately I cant get it into The Lottery Post without it losing all of it's formatting. When I pasted it in here, it became scrambled and becomes usless. I made the spreadsheet for all drawings of Sweet Million since it began in September 2009.

But I can tell you that the 9/39 pair is the top pair, having been drawn together fifteen times.

Here's the first section of the spreadsheet

1 11 21 31

1X

118 X

217 6 X

317 7 6 X

1 paired withh 11 eight times, it paired with 21 seven times, and it paired with 31 seven times.

I dont know if anyone will find this helpful or not, but I thought I'd go ahead and post it anyway.

About playing the lottery -- You will lose more than you win. Until you hit a jackpot. Then everything changes!

Economy class Belgium Member #123700 February 27, 2012 4035 Posts Offline

Posted: May 21, 2013, 7:49 pm - IP Logged

Quote: Originally posted by GiveFive on May 20, 2013

I made a spreadsheet in Excel that shows how many times any given pair of last digit numbers were drawn together. Unfortunately I cant get it into The Lottery Post without it losing all of it's formatting. When I pasted it in here, it became scrambled and becomes usless. I made the spreadsheet for all drawings of Sweet Million since it began in September 2009.

But I can tell you that the 9/39 pair is the top pair, having been drawn together fifteen times.

Here's the first section of the spreadsheet

1 11 21 31

1X

118 X

217 6 X

317 7 6 X

1 paired withh 11 eight times, it paired with 21 seven times, and it paired with 31 seven times.

I dont know if anyone will find this helpful or not, but I thought I'd go ahead and post it anyway.