Hidden opportunities within abbr. wheels

Reply #55

lottoarchitect — Fri, 17 Dec 2004 03:23:47 GMT

Well, I have this question too for Nick Koutras. The detailed reports show all the information needed for a wheel in terms of hits produced. As far as I know, covermaster returns correct detailed reports (at least all of them match with my own results so far).As for the coverage information, sometimes covermaster returns wrong results (mostly on xif7) cases.Anyway, what is wrong with CoverMaster detailed reports

Reply #54

Hyperdimension — Wed, 15 Dec 2004 23:56:18 GMT

Continue:And now the Covermaster Report of same wheel (Koutras said it has something wrong)T if M Tested Covered % Not Covered %----------------------------------------------------2 If 2 : 276 209 75.72464 67 24.275362 If 3 : 2,024 2,008 99.20949 16 0.790512 If 4 : 10,626 10,626 100.00000 0 0.000002 If 5 : 42,504 42,504 100.00000 0 0.000002 If 6 : 134,596 134,596 100.00000 0 0.000002 If 7 : 346,104 346,... [ More ]

Reply #53

Hyperdimension — Wed, 15 Dec 2004 23:55:26 GMT

Continue: I found the next wheel LDo( 24, 6, 3, 6)= 15 analyzed by Koutras years ago (1999): 7 8 13 20 22 23 3 5 7 14 17 19 3 4 7 10 18 24 4 9 11 13 16 19 1 13 14 18 23 24 1 4 5 17 20 21 5 11 12 18 21 22 5 10 13 15 17 23 4 6 8 14 15 22 2 3 6 9 21 23 2 11 15 19 20 24 1 8 9 10 19 22 2 10 12 14 16 20 6 8 12 16 17 24 1 3 7 12 15 16 Statistics: T On M Tested Covered % Uncovered

Reply #52

Hyperdimension — Wed, 15 Dec 2004 22:26:04 GMT

Hi, Apapogeas previously compare between the next 2 wheels (1 random and 1 optimized):I have picked a random wheel to optimize with multiple hits in mind.A C(6,11,4,5)=10 wheel is1 2 3 5 9 101 2 5 7 8 111 3 4 6 7 101 3 4 6 8 101 4 5 6 9 112 3 4 6 10 112 3 5 7 8 102 4 6 7 8 93 5 7 8 9 115 7 8 9 10 11An multiple hit optimized C(6,11,4,5)=10 wheel is1 2 3 5 9 111 2 3 5 10 111 2 3 6 7 81 4 5 7 8 111 4 6 8 9 102 3 4 5 6 112 3 4 7 9 102 3 5 8 9 112 3 5 8 10 115 6 7 9 10 11 Then Apapogeas says the seco... [ More ]

Reply #51

lottoarchitect — Tue, 14 Dec 2004 16:27:50 GMT

Quote: Originally posted by BobP on December 14, 2004 Hi Nick:I wasn't aware Bluskov knew of CoverMaster let alone used it for the book.Not using the Detailed Report . . . Your wheel above using the [Tools] [Find] testing the combination 01 03 04 12 15 18 in the Find Tool I get 20 lines with a 3# win each hi-lited. I don't understand the error. BobPBobP,I have tested this 6,22,3,3 wheel. I think it is a misunderstanding here. Well, you test the wheel as if you have a 6 hit (3if6). In this case,... [ More ]

Reply #50

lottoarchitect — Tue, 14 Dec 2004 14:44:58 GMT

As for Peter Rosendahl special section page wheel 15,6,3,4 in 15 lines1 2 3 4 5 61 2 3 4 5 71 2 3 4 5 81 2 3 4 5 91 2 3 4 5 106 7 8 9 10 116 7 8 9 10 126 7 8 9 10 136 7 8 9 10 146 7 8 9 10 151 11 12 13 14 152 11 12 13 14 153 11 12 13 14 154 11 12 13 14 155 11 12 13 14 15Details information on 3 hits-------------------------------------------------------------------------------- 6 5 4 3 2 1 0 Total

Reply #49

lottoarchitect — Tue, 14 Dec 2004 14:41:27 GMT

As for the wheels analysis, to clear the matter, I'll use my own analysis tool (hopefully no wrong reports included). The 15,6,3,4 Wheel made by Adolf Muehl has 14 lines01 02 03 05 12 1401 02 07 09 10 1101 02 08 09 11 1301 03 06 09 11 1401 04 06 07 08 1201 04 07 10 13 1502 03 04 08 14 1502 04 06 10 12 1302 05 06 07 12 1503 04 05 09 12 1503 07 08 10 11 1304 05 11 12 14 1505 06 08 10 13 1507 08 09 10 13 14and givesDetails information on 3 hits

Reply #48

lottoarchitect — Tue, 14 Dec 2004 14:36:06 GMT

Quote: Originally posted by Nick Koutras on December 14, 2004 Quote: Originally posted by Hyperdimension on December 13, 2004 Hi, The 15,6,3,4 Wheel made by Adolf Muehl has 14 lines... <wheel deteleted>Here is sample of *wrong* reporting of hits by covermaster3=13 4=194 5=882 6=1651 7=1519 8=632 9=110 10=4With all the respect Nick Koutras, where did you find this? I have not idea what you try to show here and covermaster does not show anything like that anywhere. Can... [ More ]

Reply #47

BobP — Tue, 14 Dec 2004 07:01:17 GMT

Hi Nick:I wasn't aware Bluskov knew of CoverMaster let alone used it for the book.Not using the Detailed Report . . . Your wheel above using the [Tools] [Find] testing the combination 01 03 04 12 15 18 in the Find Tool I get 20 lines with a 3# win each hi-lited. I don't understand the error. BobP

Reply #46

Nick Koutras — Tue, 14 Dec 2004 06:40:18 GMT

Quote: Originally posted by BobP on December 12, 2004 Quote: Originally posted by Nick Koutras on December 11, 2004 Robert,It is known that the detailed report of the Covermasteris *wrong* and we have discuss this some time back.So on a Design(22,6,3,6)=77 using the cover(22,6,3,3)=77we will have out of the 74,613 blocks the following:16,632 will hit 11 of the 3 if 655,440 will hit 14and only 2,464 blocks will have 20 3 if 6 hits.The same of course applies on your design of 18,6,3,3...Iliya Blus... [ More ]

Reply #45

Nick Koutras — Tue, 14 Dec 2004 06:28:58 GMT

Quote: Originally posted by Hyperdimension on December 13, 2004 Continue with the experiment..Peter Rosendahl special section page has the next wheel 15,6,3,4 in 15 lines 1 2 3 4 5 6 1 2 3 4 5 7 1 2 3 4 5 8 1 2 3 4 5 9 1 2 3 4 5 10 6 7 8 9 10 11 6 7 8 9 10 12 6 7 8 9 10 13 6 7 8 9 10 14 6 7 8 9 10 15 1 11 12 13 14 15 2 11 12 13 14 15 3 11 12 13 14 15 4 11 12 13 14 15 5 11 12 13 14 15But he says it has other advantages (hidden opportunities?), here the Covermaster detailed report: 6 5... [ More ]

Reply #44

Nick Koutras — Tue, 14 Dec 2004 06:24:49 GMT

Quote: Originally posted by Hyperdimension on December 13, 2004 Hi, The 15,6,3,4 Wheel made by Adolf Muehl has 14 lines01 02 03 05 12 1401 02 07 09 10 1101 02 08 09 11 1301 03 06 09 11 1401 04 06 07 08 1201 04 07 10 13 1502 03 04 08 14 1502 04 06 10 12 1302 05 06 07 12 1503 04 05 09 12 1503 07 08 10 11 1304 05 11 12 14 1505 06 08 10 13 1507 08 09 10 13 14and the next Covermaster detailed report: 6 5 4 3 % Total Acc

Reply #43

lottoarchitect — Tue, 14 Dec 2004 03:15:42 GMT

Well, you should not compare different wheels. The inclusion of a line can make a huge difference. Also, regarding the hidden opportunities, you have to generate a full report on all win cases. These are wheel 3if4 and you display the 6 hit category only.

Reply #42

Hyperdimension — Tue, 14 Dec 2004 02:32:53 GMT

Continue with the experiment..Peter Rosendahl special section page has the next wheel 15,6,3,4 in 15 lines 1 2 3 4 5 6 1 2 3 4 5 7 1 2 3 4 5 8 1 2 3 4 5 9 1 2 3 4 5 10 6 7 8 9 10 11 6 7 8 9 10 12 6 7 8 9 10 13 6 7 8 9 10 14 6 7 8 9 10 15 1 11 12 13 14 15 2 11 12 13 14 15 3 11 12 13 14 15 4 11 12 13 14 15 5 11 12 13 14 15But he says it has other advantages (hidden opportunities?), here the Covermaster detailed report: 6 5 4 3 % Total Acc

Reply #41

Hyperdimension — Tue, 14 Dec 2004 02:31:31 GMT

Hi, The 15,6,3,4 Wheel made by Adolf Muehl has 14 lines01 02 03 05 12 1401 02 07 09 10 1101 02 08 09 11 1301 03 06 09 11 1401 04 06 07 08 1201 04 07 10 13 1502 03 04 08 14 1502 04 06 10 12 1302 05 06 07 12 1503 04 05 09 12 1503 07 08 10 11 1304 05 11 12 14 1505 06 08 10 13 1507 08 09 10 13 14and the next Covermaster detailed report: 6 5 4 3 % Total Acc

Reply #40

BobP — Sun, 12 Dec 2004 07:18:49 GMT

Quote: Originally posted by Nick Koutras on December 11, 2004Robert,It is known that the detailed report of the Covermasteris *wrong* and we have discuss this some time back.So on a Design(22,6,3,6)=77 using the cover(22,6,3,3)=77we will have out of the 74,613 blocks the following:16,632 will hit 11 of the 3 if 655,440 will hit 14and only 2,464 blocks will have 20 3 if 6 hits.The same of course applies on your design of 18,6,3,3...Iliya Bluskov's Lot Book shows the same breakdown of (22,6,3,3)=7... [ More ]

Reply #39

lottoarchitect — Sat, 11 Dec 2004 22:42:34 GMT

Nick Koutras,I'm not sure by what means the detailed reports are wrong.I have my own programs for this sort of analysis (and more detailed than covermaster does) and the results are identical which means, both programs present correct results, or both of us have written wrong code. What is wrong with the detailed reports then?As for bugs, I have noticed a bug at the coverage of the quick report (on some cases of xif7) so far.

Reply #38

Nick Koutras — Sat, 11 Dec 2004 22:32:23 GMT

Robert,It is known that the detailed report of the Covermasteris *wrong* and we have discuss this some time back.So on a Design(22,6,3,6)=77 using the cover(22,6,3,3)=77we will have out of the 74,613 blocks the following:16,632 will hit 11 of the 3 if 655,440 will hit 14and only 2,464 blocks will have 20 3 if 6 hits.The same of course applies on your design of 18,6,3,3...

Reply #37

BobP — Fri, 10 Dec 2004 07:30:33 GMT

CoverMaster doesn't show 2# wins in the Detailed Report as it does in the Quick Report and the Find Tool, can't say why except it is free and the author didn't choose to put it in the versions so far. The (22,6,3,3=77) wheel is suposed to be one of the most perfect wheels known and the foundation of the (49,6,3,6=163) split wheel and smaller field versions. Of course it is possible to have almost anything show in the Detailed Report, just put what you want to find into the wheel and the report w... [ More ]

Reply #36

lottoarchitect — Fri, 10 Dec 2004 06:47:10 GMT

I did that but it doesn't offer more information than the details reports. All this find procedure included in the report. Well CoverMaster doesn't display hits below 3# but my program does (for pick 3/4 cases mostly) but why should we concern about 2# hits anyway on 6 ball games? Well the matter is about improvements and I think optimization is the way to go on wheel designs (when talking for WR wheels and not specific designs like the 48 ticket wheel). The idea is to find the best possible rew... [ More ]

Reply #35

BobP — Fri, 10 Dec 2004 06:35:00 GMT

When there is a line with a higher prize say 6# and no 3# prize it is because all the 3# winning sub groups are in the 6# combination and the lottery will only pay the higher prize. CoverMaster does not show wins that cannot be claimmed. The lottery say's the lower prizes are in the higher, as part of the total, but that's another story. After you make the (22,6,3,3=77) wheel enter one of the wheel's combinations into the [Find Tool] you will likely get 60, 2# wins and one jackpot as the optim... [ More ]

Reply #34

lottoarchitect — Fri, 10 Dec 2004 06:22:08 GMT

Quote: Originally posted by BobP on December 10, 2004 PLEASE Please please try this before you say I'm wrong again.Using CoverMaster enterPool-22Pick-6Match-3Hits-3[Generate][Start][Finish] You should have a (22,6,3,3=77) wheel.Now click Tools on the task bar and on the drop down menu click [Find]On the top line of the [Find Tool] enter any six unique numbers from 01 through 22. Click [Find]You will get one of the win possibilities shown on the Detailed Report for six winning numbers among the 2... [ More ]

Reply #33

BobP — Fri, 10 Dec 2004 06:20:02 GMT

Quote: Originally posted by Hyperdimension on December 10, 2004 6 5 4 3 Total % Acc%-------------------------------------------------------------------------------------- - - - 20 2464 3.30237 3.30237 - - 2 12 55440 74.30341 77.60578 - - 3 8 9240 12.38390 89.98968 - 1 0 10 7392 9.9... [ More ]

Reply #32

BobP — Fri, 10 Dec 2004 06:13:17 GMT

PLEASE Please please try this before you say I'm wrong again. Using CoverMaster enterPool-22Pick-6Match-3Hits-3[Generate][Start][Finish] You should have a (22,6,3,3=77) wheel.Now click Tools on the task bar and on the drop down menu click [Find]On the top line of the [Find Tool] enter any six unique numbers from 01 through 22. Click [Find]You will get one of the win possibilities shown on the Detailed Report for six winning numbers among the 22 number field. Count the lines you will find exactl... [ More ]

Reply #31

lottoarchitect — Fri, 10 Dec 2004 05:29:01 GMT

Reply #30

Hyperdimension — Fri, 10 Dec 2004 05:27:09 GMT

6 5 4 3 Total % Acc%-------------------------------------------------------------------------------------- - - - 20 2464 3.30237 3.30237 - - 2 12 55440 74.30341 77.60578 - - 3 8 9240 12.38390 89.98968 - 1 0 10 7392 9.90712 99.89680 1 0 0 0 77

Reply #29

lottoarchitect — Fri, 10 Dec 2004 05:13:36 GMT

Quote: Originally posted by BobP on December 9, 2004 6 5 4 3 % Total Acc % -------------------------------------------------------------------------------------- - - 3 4-6 80 17.31602 17.31602 - - 4 2-5 48 10.38961 27.70563 - - 5 1-4 46 9.95671 37.66234 - - 6 0-3 16 3.46320 41.12554

Reply #28

BobP — Fri, 10 Dec 2004 04:22:31 GMT

Quote: Originally posted by Threepix on December 9, 2004Hello Bobp,What software are you using to run these tests? ThanksWe're using CoverMaster. If you want to try fooling around with it right away you can get a copy of the older version that does everything the newest does except restart-auto-optimize download the zip from here:http://www.lotto-logix.com/wheellinks.htmlYou'll also find a link to the newest password protected version, sometimes John makes you do something (usually free) to get... [ More ]

Reply #27

Threepix — Fri, 10 Dec 2004 04:14:42 GMT

Hello Bobp,What software are you using to run these tests? Thanks

Reply #26

BobP — Fri, 10 Dec 2004 04:05:06 GMT

6 5 4 3 % Total Acc % -------------------------------------------------------------------------------------- - - 3 4-6 80 17.31602 17.31602 - - 4 2-5 48 10.38961 27.70563 - - 5 1-4 46 9.95671 37.66234 - - 6 0-3 16 3.46320 41.12554 - - 7 0-2 5 1.0... [ More ]

Reply #25

Hyperdimension — Fri, 10 Dec 2004 01:06:31 GMT

Hi, Yeah, the right interpretation of numbers is from Apopogeas..Cya

Reply #24

lottoarchitect — Thu, 09 Dec 2004 11:48:00 GMT

Quote: Originally posted by Datenda on December 9, 2004 apagogeas,Realistically the chance of hitting 3 out of 11 is much greater than hitting 6 out of 11.This should be considered when deciding which is the better wheel.Cheers,DarendaExactly, the point is that an optimized wheel offers better improved hit ratios on all displayed categories. If we expect to hit only 3 correct numbers, then we should use an x if 3 wheel all the time. In that case too, an optimized wheel, offers better hits if we

Reply #23

lottoarchitect — Thu, 09 Dec 2004 11:17:33 GMT

Quote: Originally posted by BobP on December 9, 2004 No offense, but you're reading the Detailed Report wrong. Based on the way you're seeing it a 6# win would be 100%Don't take my word for it. Build a known wheel like (22,6,3,3,77) and check the detailed report to see how the chart reads with 6 correct. 6 5 4 3 % Total Acc

Reply #22

Datenda — Thu, 09 Dec 2004 08:29:32 GMT

apagogeas,Realistically the chance of hitting 3 out of 11 is much greater than hitting 6 out of 11.This should be considered when deciding which is the better wheel.Cheers,Darenda

Reply #21

BobP — Thu, 09 Dec 2004 06:37:46 GMT

No offense, but you're reading the Detailed Report wrong. Based on the way you're seeing it a 6# win would be 100%Don't take my word for it. Build a known wheel like (22,6,3,3,77) and check the detailed report to see how the chart reads with 6 correct. 6 5 4 3 % Total Acc % -------------------------------------------------------------------------------------- - - - 20 2464 3.30237 3.30237

Reply #20

lottoarchitect — Wed, 08 Dec 2004 16:34:47 GMT

Please consider the above optimized wheel copyrighted.The main question is: what is most important; multiple hits or better coverage? I feel the multiple hits is the way to go here.The second question relates to the priority o multiple hits. What is considered most important for a multiple hit improvement

Reply #19

lottoarchitect — Wed, 08 Dec 2004 15:32:30 GMT

I have picked a random wheel to optimize with multiple hits in mind.A C(6,11,4,5)=10 wheel is 1 2 3 5 9 10 1 2 5 7 8 11 1 3 4 6 7 10 1 3 4 6 8 10 1 4 5 6 9 11 2 3 4 6 10 11 2 3 5 7 8 10 2 4 6 7 8 9 3 5 7 8 9 11 5 7 8 9 10 11An multiple hit optimized C(6,11,4,5)=10 wheel is 1 2 3 5 9 11 1 2 3 5 10 11 1 2 3 6 7 8 1 4 5 7 8 11 1 4 6 8 9 10 2 3 4 5 6 11 2 3 4 7 9 10 2 3 5 8 9 11 2 3 5 8 10 11 5 6 7 9 10 11Slighty reduced coverage offered by the optimized wheel as I mentioned before, but not on cruci... [ More ]

Reply #18

Hyperdimension — Wed, 08 Dec 2004 14:25:32 GMT

Hi, BobP 48 wheel analysis shows if match 6 numbers of the 18 wheel, (with Lottery Director)Number distribution: 16 of each number. Average wins 3 number wins 11.38 4 number wins 2.56 5 number wins 0.19Apapogeas 42 wheel (18,6,4,6)Number distribution: 14 of each number. Average wins 3 number wins 9.95 4 number wins 2.24 5 number wins 0.16Cya

Reply #17

lottoarchitect — Wed, 08 Dec 2004 13:22:44 GMT

BobP, I don't want to go in a fight with you. However what you say is not true. The following tables are the detailed hit analysis of both wheels:6 numbers in 18 correctWR wheel 6 5 4 3 % Total Acc % -------------------------------------------------------------------------------------- - - 1 12-14 1701 9.16290 9.16290 - - 2 9-12 5994 32.28830 41.45120

Reply #16

BobP — Wed, 08 Dec 2004 07:02:32 GMT

Quote: Originally posted by apagogeas on December 7, 2004The point is to keep the cost of playing low and retain the best chances to win. As for the wheel, I didn't say it is bad at all. As for the multiple 3if3 hits, well, there is only 1.45% chance to give 5 3#'s. No matter, it's your decision of what wheel to use. My concern is to develop minimum wheels with maximum outcome, both in coverage and multiple hits on all categories. The first step has been done, the second is underway.No so . . .... [ More ]

Reply #15

lottoarchitect — Tue, 07 Dec 2004 11:51:49 GMT

The point is to keep the cost of playing low and retain the best chances to win. As for the wheel, I didn't say it is bad at all. As for the multiple 3if3 hits, well, there is only 1.45% chance to give 5 3#'s. No matter, it's your decision of what wheel to use. My concern is to develop minimum wheels with maximum outcome, both in coverage and multiple hits on all categories. The first step has been done, the second is underway.

Reply #14

BobP — Tue, 07 Dec 2004 07:37:13 GMT

You might be missing the point of the thing. You open Lot book to 3if3of6in18 and it takes 48 lines with no 4if6 guarantee. You check 4if6in18 and the 42 lines offer no 3if3 guarantee. Neither offers a clear jackpot shot for those inclined, they'd have to map the wheel to do it. I've combined three wheels needing over one hundred lines into one 48 line wheel at no additional cost to the 3if3 wheel user and only six more lines for the 4if6 wheeler to hedge his bet as 5 winning numbers don't guar... [ More ]

Reply #13

lottoarchitect — Mon, 06 Dec 2004 12:58:36 GMT

And finally, there is another optimization I haven't talked about yet. It refers to optimizing multiple hits with the increase of coverage. There, we put our numbers in order of preference and if they hit then we have maximum outcome. No need for groups, 3+3 tactics etc. Of course, the wheel retains its initial guarantee, no matter which numbers are finally drawn. It is just a better way to have the player control his luck by selecting the numbers he feels have more chances to come among the req... [ More ]

Reply #12

lottoarchitect — Mon, 06 Dec 2004 12:24:53 GMT

BobP,this C(6,18,4,6)=48 is a nice wheel for the purpose it is designed for. However it is unfair to compare it with the WR or an optimized one which has only 42 lines.As for the jackpot, everyone wants to hit the jackpot and every wheel has a chance on that, no matter how it is constructed or its guarantee. Even in your 48 ticket wheel, the 3+3 matter for hitting the jackpot is not that important. These are the lines of your wheel that you can setup in the 3+3 manner to hit the jackpot (groups

Reply #11

BobP — Mon, 06 Dec 2004 05:55:29 GMT

I don't know about you, but every ticket I buy is in the hope of hitting a jackpot no matter what the wheel guarantee happens to be.The strategy is the hope the wheel will play above it's guarantee. To have three or four numbers guaranteed on a ticket when conditions are met and then to have two or three numbers more correct on that same line.I win lot's of 3# prizes, why can't I ever seem to get two of them on the same line?Anyway, if you examine the hand made perfect wheels lottery experts... [ More ]

Reply #10

lottoarchitect — Mon, 06 Dec 2004 00:55:24 GMT

Quite correct relowe, this is the main idea of an optimized wheel, assuming we cannot reduce the required tickets even further or improve the coverage of the main category in case of an open-cover wheel.As for the equality to world records, it has managed to match all world record wheels I've tested for up to 40-60 tickets and also improved several of them (these cannot be reduced further). I haven't tested it on big wheels as I have to improve the speed even more for that but I can say it has g... [ More ]

Reply #9

relowe — Mon, 06 Dec 2004 00:01:19 GMT

Well, it seems that if we optimise our wheels then we get an improved second chance if our predictions are a bit off. I see from the Lotto Architect website that you intend to implement this tool into the program at some future stage. Is this the only way this tool will be made available? Whatever, bring it on I say. Looks like this is good for LA users.And whilst not a mathematician, I note also at the website you refer to world records being equalled if not beaten with this tool. Have world re... [ More ]

Reply #8

lottoarchitect — Sun, 05 Dec 2004 22:46:29 GMT

A misunderstanding Maryland. The above Pick 3 wheel is for jackpot games, no cash 3 etc. We are not talking for boxed neither straight wheels here. These are not abbreviated wheels and the above analysis does not apply to that sort of wheels.

Reply #7

Maryland — Sun, 05 Dec 2004 22:41:41 GMT

In Maryland we can play only two numbers but they have to be either front pair or back pair. For $.50 I believe it's $25.00 and $1.00 bet is $50.00. Oh the pairs have to be in picked order no boxes. Just a thought while you play with the wheels.

Reply #6

lottoarchitect — Sun, 05 Dec 2004 21:14:38 GMT

I'm not talking about strategies here RJOh.I'm talking about improving wheels. This is totally different that what you are saying. Don't confuse the optimization of wheels with strategies.A strategy is to use a wheel to play. However, it is preferable to use an optimized wheel (if you choose to use wheels) rather than an arbitrary similar wheel with the same attributes, as I try to illustrate in this thread. I just presented an example of a pick 3 optimized wheel here, that's all. People who use... [ More ]

Reply #5

RJOh — Sun, 05 Dec 2004 21:09:14 GMT

As I noted in my post, the odds of matching 2of3 in a 3/10 game would be 1:6, so why would playing 8 lines be a good strategy? Maybe the optimization of this strategy might be clearer if you explained it using a 6/49 game where the odds of matching 2of6 is 1:8.RJOh

Reply #4

lottoarchitect — Sun, 05 Dec 2004 19:40:22 GMT

RJOh,First of all, we do not use an abbreviated wheel to hit the jackpot. Chances to hit the jackpot are directly related to the total tickets played as any other method of generating tickets to play.Second, abbreviated wheels are good if we want to ensure a guarantee for a lesser prize category with the minimal possible cost. This is impossible with quick picks or if you randomly arrange your numbers. You'll end up with many more tickets to ensure that guarantee.As for the Pick 3 example, I jus... [ More ]

Reply #3

RJOh — Sun, 05 Dec 2004 19:16:22 GMT

Quote: Originally posted by apagogeas on December 5, 2004Everyone knows what is an abbreviated wheel (either close or open cover). If we want a guarantee e.g. 2if3 in 10 balls (for a hypothetical jackpot 3 balls game), then we pick a wheel that offers 100% 2if3 with the desired number of balls to wheel. The above example needs 8 tickets for that.If a 3 of 10 lottery existed, the odds of winning would be:Match odds3/3 1:1202/3 1:61/3 1:2overall 1:1.4How would it ever gen... [ More ]

Reply #2

lottoarchitect — Sun, 05 Dec 2004 18:19:29 GMT

The important thing I illustrate above is that we have two wheels with the exact same attributes (guarantee the same prize and both need the same amount of tickets). We can see that they have different properties in terms of coverage on other prize divisions.Sadly, no jackpot 3 games exist but similar is the observation I have on many jackpot 6 game wheels, where more lower divisions occur. As for the jackpot, we already know it depends directly on the total tickets played and not at the propert... [ More ]

Reply #1

BobP — Sun, 05 Dec 2004 18:03:57 GMT

Both wheels are split in the sense every digit doesn't come in contact with every other digit as each appears a maximum of three times and can come in contact with a maximum of six other digits. I do take your meaning in the second as 579 is exclusive.I'm not surprised the split wheel has better lower tier coverage, they usually do which is why they lure people into playing them, but the jackpot then becomes more elusive. Too bad there is no 2if3 prize in Pick-3 we'd win two draws out of three... [ More ]

Hidden opportunities within abbr. wheels

lottoarchitect — Sun, 05 Dec 2004 16:58:01 GMT

Well, here is an important matter regarding wheels that never discussed before. I've come up with this observation after I constructed a wheel optimiser to generate wheels and I faced an unexpected behaviour. I'll post here some results, so here we go.Everyone knows what is an abbreviated wheel (either close or open cover). If we want a guarantee e.g. 2if3 in 10 balls (for a hypothetical jackpot 3 balls game), then we pick a wheel that offers 100% 2if3 with the desired number of balls to wheel.... [ More ]