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Hidden opportunities within abbr. wheels

Topic closed. 55 replies. Last post 12 years ago by lottoarchitect.

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Greece
Member #2815
November 18, 2003
502 Posts
Offline
Posted: December 7, 2004, 6:51 am - IP Logged

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.

If you have something to do, at least do it well...

    BobP's avatar - bobp avatar.png
    Dump Water Florida
    United States
    Member #380
    June 5, 2002
    3112 Posts
    Offline
    Posted: December 8, 2004, 2:02 am - IP Logged
    Quote: Originally posted by apagogeas on December 7, 2004


    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.



    No so . . . with my wheel, if you get 5 of the winning numbers among the 18 you have a 77% shot at the 4# prize remaining, plus you are guaranteed a minimum of 10 - 3# prizes which would cover the cost of the wheel in almost any U.S. or U.K. Pick-6 lottery. 

    Drop my 48 lines into CoverMaster and check the Detailed Report for 3,4,5 and 6 winning numbers.

    If you get all six winning numbers among the 18, because my wheel is both a 3if3 and 4if6 you would be guaranteed at least one 4# prize and 16 - 3# prizes.  With 16 - 3# lines I believe there is a better chance of a higher prize tier being won. 

    Not to forget there is also the free jackpot shot.  I realize that doesn't matter to someone who doesn't predict, but for someone who works on co-occurence of numbers it is a good place to drop those numbers you believe will hit together, if it works you're a jackpot prize winner and if it doesn't the shot was totally free anyway.  BobP


     

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      Greece
      Member #2815
      November 18, 2003
      502 Posts
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      Posted: December 8, 2004, 8:22 am - IP Logged

      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 correct

      WR wheel

           6         5         4         3           %       Total       Acc %   

      --------------------------------------------------------------------------------------

           -         -         1        12-14       1701     9.16290     9.16290

           -         -         2        9-12       5994    32.28830    41.45120

           -         -         3        5-11       6021    32.43374    73.88494

           -         -         4        4-8        1701     9.16290    83.04783

           -         -         6         2          81     0.43633    83.48416

           -         1        0-2        5-12       3024    16.28959    99.77376

           1         0         0        6-8         42     0.22624   100.00000



      48 ticket wheel

           6         5         4         3           %       Total       Acc %   

      --------------------------------------------------------------------------------------

           -         -         1        16         324     1.74531     1.74531

           -         -         2        12-14       5508    29.67033    31.41564

           -         -         3        8-13       5940    31.99741    63.41306

           -         -         4        8-12       2430    13.08985    76.50291

           -         -         5        10         648     3.49063    79.99354

           -         -         6        0-8        282     1.51907    81.51261

           -         1        0-4        8-13       3312    17.84098    99.35359

           -         2         2        11          72     0.38785    99.74144

           1         0        0-3        4-8         48     0.25856   100.00000



      Now tell me, where did you see the 16 -3# guaranteed? It has only 1.7% chance to occur! As I said, besides the benefit of a 3 guarantee in 3if3, it offers slightly improved hits due to the increase of lines as expected. However, we are talking for 4if6 wheels and the whole discussion goes arounf the 3# hits, why?



      As I have constructed the early parts of the multiple hits optimizer, I have some observations to share and ask your opinion on this. I've noticed, we cannot have maximum coverage and maximum multiple hits at the same time (perhaps we can but this is what I see so far). The definition of maximum multiple hits is under discussion right now as to what is considered a maximum multiple hits improvement. I assume as a first step is to enhance the hits for the basic category, which is, more hits at the 4 hits in a .e.g 3if4 wheel selection.

      The problem is what is considered an improvement in this basic hit category (e.g. if we test the Hit 4 category)? Two cases arise:

      1- a new better hit condition compared tro existing conditions presented, or try to increase the hit count of this top case if we?

      2- improve the dominant category (which is less powerful than the top rated hit condition but effectively has the more chances to occur?

      3- something else?



      In an example, the hit rates for a C(6,10,4,5)=7 wheel could be

           6         5         4         3           %       Total       Acc %   

      --------------------------------------------------------------------------------------

           -         -         -         2          72    34.28571    34.28571

           -         -         -         4          62    29.52381    63.80952

           -         -         1        0-2         51    24.28571    88.09524

           -         -         2         4          24    11.42857    99.52381

           -         -         6         0           1     0.47619   100.00000



      1- refers to find a better top case

      e.g. 6-4#, 1-3# or if it is the same top case, if we can increase the total count e.g. make it 2.

      2- refers to improving the most dominant hit condition (here is 2-3# and increase its count.

      3- something else? what do you suggest?



      Of course, in either case, if there is a wheel that is the same in terms of the condition tested, we pick the one that offers improved hits on other conditions, in a priority schedule. In short, I'm looking for ideas of the most acceptable priority schedule.



      This is an open query to anyone who wants to participate. Feel free to post your ideas.

      If you have something to do, at least do it well...

        Hyperdimension's avatar - latest trace_171.gif

        United States
        Member #9059
        November 26, 2004
        128 Posts
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        Posted: December 8, 2004, 9:25 am - IP Logged

        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              0.19

        Apapogeas 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              0.16

        Cya

        El pensamiento ordena el caos..

        http://1x2quinielas.blogspot.com

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          Greece
          Member #2815
          November 18, 2003
          502 Posts
          Offline
          Posted: December 8, 2004, 10:32 am - IP Logged

          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 11



          An 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 11



          Slighty reduced coverage offered by the optimized wheel as I mentioned before, but not on crucial categories.

          Detailed hits of the above wheels follow:



          1st wheel hit 6 category hits

               6         5         4         3           %       Total       Acc %   

          --------------------------------------------------------------------------------------

               -         -         3        5-6         44     9.52381     9.52381

               -         -         4        4-5         84    18.18182    27.70563

               -         -         5        1-4         60    12.98701    40.69264

               -         -         6        0-3         10     2.16450    42.85714

               -         1        1-6        0-7        220    47.61905    90.47619

               -         2        1-4        0-6         26     5.62771    96.10390

               -         3        1-2        1-4          8     1.73160    97.83550

               1        0-1        0-4        3-8         10     2.16450   100.00000



          optimized wheel hit 6 category hits

               6         5         4         3           %       Total       Acc %   

          --------------------------------------------------------------------------------------

               -         -         3        4-6         84    18.18182    18.18182

               -         -         4        2-5         72    15.58442    33.76623

               -         -         5        2-4         20     4.32900    38.09524

               -         -         6         2          16     3.46320    41.55844

               -         -         7        0-2         10     2.16450    43.72294

               -         1        1-6        2-7        220    47.61905    91.34199

               -         2        3-5        2-4         20     4.32900    95.67100

               -         3         3         2           8     1.73160    97.40260

               -         4         3         0           2     0.43290    97.83550

               1        0-2        0-4        4-8         10     2.16450   100.00000



          1st wheel hit 5 category hits

               6         5         4         3           %       Total       Acc %   

          --------------------------------------------------------------------------------------

               -         -         1        4-8        209    45.23810    45.23810

               -         -         2        2-5        105    22.72727    67.96537

               -         -         3        0-4         80    17.31602    85.28139

               -         -         4        0-1          9     1.94805    87.22944

               -         -         5         1           1     0.21645    87.44589

               -         1        0-3        0-8         56    12.12121    99.56710

               -         2         1        2-3          2     0.43290   100.00000



          optimized wheel hit 5 category hits

               6         5         4         3           %       Total       Acc %   

          --------------------------------------------------------------------------------------

               -         -         1        4-8        225    48.70130    48.70130

               -         -         2        2-6        104    22.51082    71.21212

               -         -         3        0-5         52    11.25541    82.46753

               -         -         4         2          16     3.46320    85.93074

               -         -         5        2-4          9     1.94805    87.87879

               -         1        0-4        2-6         52    11.25541    99.13420

               -         2         3         2           4     0.86580   100.00000



          1st wheel hit 4 category hits

               6         5         4         3           %       Total       Acc %   

          --------------------------------------------------------------------------------------

               -         -         -         3         100    30.30303    30.30303

               -         -         -         4          67    20.30303    50.60606

               -         -         -         5          27     8.18182    58.78788

               -         -         -         6           2     0.60606    59.39394

               -         -         1        0-4        120    36.36364    95.75758

               -         -         2        1-3         12     3.63636    99.39394

               -         -         3        0-1          2     0.60606   100.00000



          optimized wheel hit 4 category hits

               6         5         4         3           %       Total       Acc %   

          --------------------------------------------------------------------------------------

               -         -         -         3         116    35.15152    35.15152

               -         -         -         4          64    19.39394    54.54545

               -         -         -         5           8     2.42424    56.96970

               -         -         -         6           8     2.42424    59.39394

               -         -         -         7           4     1.21212    60.60606

               -         -         1        0-5        113    34.24242    94.84848

               -         -         2         4          16     4.84848    99.69697

               -         -         5         0           1     0.30303   100.00000



          1st wheel hit 3 category hits

               6         5         4         3           %       Total       Acc %   

          --------------------------------------------------------------------------------------

               -         -         -         -          25    15.15152    15.15152

               -         -         -         1          95    57.57576    72.72727

               -         -         -         2          31    18.78788    91.51515

               -         -         -         3          13     7.87879    99.39394

               -         -         -         4           1     0.60606   100.00000



          optimized wheel hit 3 category hits

               6         5         4         3           %       Total       Acc %   

          --------------------------------------------------------------------------------------

               -         -         -         -          25    15.15152    15.15152

               -         -         -         1         100    60.60606    75.75758

               -         -         -         2          28    16.96970    92.72727

               -         -         -         3           8     4.84848    97.57576

               -         -         -         5           4     2.42424   100.00000

          If you have something to do, at least do it well...

            lottoarchitect's avatar - waveform

            Greece
            Member #2815
            November 18, 2003
            502 Posts
            Offline
            Posted: December 8, 2004, 11:34 am - IP Logged

            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?

            If you have something to do, at least do it well...

              BobP's avatar - bobp avatar.png
              Dump Water Florida
              United States
              Member #380
              June 5, 2002
              3112 Posts
              Offline
              Posted: December 9, 2004, 1:37 am - IP Logged

              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
                  -          -          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    0.10320  100.00000

                Avatar
                Pretoria
                South Africa
                Member #6062
                August 4, 2004
                54 Posts
                Offline
                Posted: December 9, 2004, 3:29 am - IP Logged

                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

                Tata Syndicate Boss

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                  Greece
                  Member #2815
                  November 18, 2003
                  502 Posts
                  Offline
                  Posted: December 9, 2004, 6:17 am - IP Logged
                  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 %   

                  --------------------------------------------------------------------------------------

                       -         -         -        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     0.10320   100.00000








                  I really wouldn't believe that you could read these tables that wrong BobP! Obviously, we cannot have 100% for a 6# in a 6 ball game (unless we play all possible tickets)!

                  A brief explanation of the above details so people can unerstand what they read.

                  The Acc% (accumulated %)column displays the total percentage of all % up to that line and should always add to 100% (the last line displays that always). It is something like a correctness check of the analysis procedure. The REAL chance of each line is the single % displayed.

                  Total combinations to be tested: C(22,6)=74613 in case of 6 hits in 22 numbers (the total column should add to this number too).

                  The above table simply says that:

                  1st line-> we have 2464 (out of 74613)=3.30237%     combinations that give exactly 20-3#, in case we have 6 numbers correct out of 22.

                  2nd line-> we have 55440 (out of 74613)=74.30341%     combinations that give exactly 2-4# and 12-3#, in case we have 6 numbers correct out of 22, and so on.

                  Obviously, the last line (with the 6# hit) means:

                  last line-> we have 77 (out of 74613)=0.10320%     combinations that give exactly 1-6#, in case we have 6 numbers correct out of 22.

                  The 77 displayed in the 6# case is always equal to the total tickets played (your wheel has 77 tickets) and the chance to hit the #6 (in case we have all 6 correct numbers in 22) is 77/74613=0.10320% only.

                  See it the other way, if we had 100% chance, then why are the other cases displayed that do not show a 6# too?



                  Also, when ranges displayed like the next table [a (11,6,4,5,10) wheel] (note that the biggest displayed division in each line is always a single number),

                  total combinations to check =C(11,6)=462



                       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     1.08225    42.20779

                       -         1        1-6        2-7        228    49.35065    91.55844

                       -         2        3-5        0-4         20     4.32900    95.88745

                       -         3        1-2        4           8     1.73160    97.61905

                       -         4         3         0           1     0.21645    97.83550

                       1        0-1        0-3        4-8         10     2.16450   100.00000



                  e.g. the 1st line means we have 80 out of 462 total combinations that give exactly 3-4# and 4-6 3#'s. From these 80 combinations, some will return 3-4#&4-3#, some other will return 3-4#&5-3# and the rest 3-4#&6-3#. We never display the full details for ranges because we'll end up with too many lines (and cumbersome to read!).

                  Also, note again, the last line (and only line that displays the only 1-6# possible (we never have more than 1-6# possible), the combinations displayed are equal to the tickets played.



                  In short, the Acc% should not be read at all as it offers no information to the details table. Sadly it confused you so much.

                  Now, with a clear understanding of the details tables, what do you think of the improvements?

                  If you have something to do, at least do it well...

                    lottoarchitect's avatar - waveform

                    Greece
                    Member #2815
                    November 18, 2003
                    502 Posts
                    Offline
                    Posted: December 9, 2004, 6:48 am - IP Logged
                    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,

                    Darenda








                    Exactly, 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 are lucky and hit more numbers. In either way, the optimized wheel is more rewarding, no matter how many correct numbers we have. This is what I illustrate with the two wheels example. With the same money, we can have much better earnings.

                    If you have something to do, at least do it well...

                      Hyperdimension's avatar - latest trace_171.gif

                      United States
                      Member #9059
                      November 26, 2004
                      128 Posts
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                      Posted: December 9, 2004, 8:06 pm - IP Logged

                      Hi,



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

                      Cya

                      El pensamiento ordena el caos..

                      http://1x2quinielas.blogspot.com

                        BobP's avatar - bobp avatar.png
                        Dump Water Florida
                        United States
                        Member #380
                        June 5, 2002
                        3112 Posts
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                        Posted: December 9, 2004, 11:05 pm - IP Logged

                             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     1.08225    42.20779
                             -         1        1-6        2-7        228    49.35065    91.55844
                             -         2        3-5        0-4         20     4.32900    95.88745
                             -         3        1-2        4           8     1.73160    97.61905
                             -         4         3         0           1     0.21645    97.83550
                             1        0-1        0-3        4-8         10     2.16450   100.00000

                        Ignore the Acc% 

                        We have an 80% chance of 3, 4# prizes and 4-6, 3#prizes (actually 100% minimum guaranteed).

                        If this doesn't occur then we will have 4, 4# prizes and 2-5, 3# prizes.
                        If this doesn't occur then we will have 5, 4# prizes and 1-4, 3# prizes.
                        If this doesn't occur then we will have 6, 4# prizes and 0-3, 3# prizes.
                        If this doesn't occur then we will have 7, 4# prizes and 0-2, 3# prizes.
                        And so on.

                        The probability of having exactly 3, 4# prizes and 4-6, 3# prizes is shown as only 80% because you also have odds of doing better.

                        With the (22,6,3,3=77) wheel with all six winning numbers among the 22 you have a 100% guarantee of a minimum of 20, 3# winning tickets or if that doesn't occur you will have one of the better winning possibilities shown below. 

                        If the top line shows a number under any prize tier, that's a guaranteed minimum win under the conditions of the wheel.  If there is no number under any prize tier it's an open cover design. 

                        Do you have lottery software that checks for wins?  Drop in the 77 lines as if played and enter any six unique numbers between 01 and 22 as the winning combination and see if you don't get one of the possibilities shown on the Detailed Report each try.  BobP

                             

                          Threepix's avatar - lion
                          Houston
                          United States
                          Member #8829
                          November 18, 2004
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                          Posted: December 9, 2004, 11:14 pm - IP Logged

                          Hello Bobp,

                          What software are you using to run these tests? Thanks

                            BobP's avatar - bobp avatar.png
                            Dump Water Florida
                            United States
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                            June 5, 2002
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                            Posted: December 9, 2004, 11:22 pm - IP Logged
                            Quote: Originally posted by Threepix on December 9, 2004



                            Hello Bobp,

                            What software are you using to run these tests? Thanks




                            We'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.html

                            You'll also find a link to the newest password protected version, sometimes John makes you do something (usually free) to get the password sometimes not, but you have to send and wait so get both versions.  The doc is the same downloaded from either site.

                            It can be a lot of fun to make your own wheels.  BobP
                              lottoarchitect's avatar - waveform

                              Greece
                              Member #2815
                              November 18, 2003
                              502 Posts
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                              Posted: December 10, 2004, 12:13 am - IP Logged
                              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

                                   -        -        7        0-2         5     1.08225    42.20779

                                   -        1        1-6        2-7        228    49.35065    91.55844

                                   -        2        3-5        0-4        20     4.32900    95.88745

                                   -        3        1-2        4          8     1.73160    97.61905

                                   -        4        3        0          1     0.21645    97.83550

                                   1        0-1        0-3        4-8        10     2.16450   100.00000

                              Ignore the Acc%



                              We have an 80% chance of 3, 4# prizes and 4-6, 3#prizes (actually 100% minimum guaranteed).



                              If this doesn't occur then we will have 4, 4# prizes and 2-5, 3# prizes.

                              If this doesn't occur then we will have 5, 4# prizes and 1-4, 3# prizes.

                              If this doesn't occur then we will have 6, 4# prizes and 0-3, 3# prizes.

                              If this doesn't occur then we will have 7, 4# prizes and 0-2, 3# prizes.

                              And so on.



                              The probability of having exactly 3, 4# prizes and 4-6, 3# prizes is shown as only 80% because you also have odds of doing better.



                              With the (22,6,3,3=77) wheel with all six winning numbers among the 22 you have a 100% guarantee of a minimum of 20, 3# winning tickets or if that doesn't occur you will have one of the better winning possibilities shown below.



                              If the top line shows a number under any prize tier, that's a guaranteed minimum win under the conditions of the wheel. If there is no number under any prize tier it's an open cover design.



                              Do you have lottery software that checks for wins? Drop in the 77 lines as if played and enter any six unique numbers between 01 and 22 as the winning combination and see if you don't get one of the possibilities shown on the Detailed Report each try. BobP



                                   








                              Unbelievable BobP. You really got it totally wrong. Some points to mention just to understand why you are wrong on this.

                              First of all, I forgot to mention a bug in CoverMaster with the Copy to Clipboard feature wich misplaces the % and Total headers. Total is left, % is right and not as displayed here.

                              Now, if we have 80% chance of 3, 4# prizes and 4-6, 3#prizes, then we have 228% chance for 1-5@, 1-6 4# and 2-7 3#? What sort of percentance is that??? You simply read the wrong column due to this bug in CoverMaster.

                              Also, all categories displayed are mutually exclusive. Given a combination, it matches with only one of those displayed, and only from the list. These cover all possibilities of combinations to come. For a deep explanation of why everything is the way it is, please read my previous post again.

                              Also, I have written my own software for that sort of analysis. Why it always return exactly the same results as covermaster no matter whichever wheel I try? Do you think I don't have an idea what I'm talking about? As for the wins on wheels, the details reports display all the information needed. The only think they do not display is in which line each combination falls.



                              However, if you are not convinced yet, I suggest to try both wheels on your software and notice the difference in hits produced. I'm definitely sure, you'll conclude what I'm saying. Or even ask the author of CoverMaster to explain what those reports mean.



                              Just to mention a few benefits of the optimized wheels, the chance of not hitting anything has been reduced greatly on all hit categories. This means that no matter if we match 3/4/5 or 6 numbers, we have more chances to win at least a prize (well 2 or more most of the time!). Simply observe the fact that the minimum possible hits are well above 0 as it happens on the non-optimized wheel (you can see several lines display a range 0-x. In optimized wheel, these 0 reduced to atmost 2!). Also, several better categories appear on most cases.

                              Finally, there is a slight increase of % to occur to the minimum possible lines (lowest possible hits) due to the fact that we push the wheel to the limits. This means, when we push the wheel to produce more multiple wins upwards, at the same time, we restrict the middle categories. The lower increase comes from the fact that this lowest hit line has the higher freedom to be reproduced. This is neither good or bad, it is just the effect of optimizing and the 'internal' limitations produce such a tight construction as an optimized wheel is. I think we should call them... wheels to their limits!

                              If you have something to do, at least do it well...