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Message Icon Topic: Unique Threes 450 Lines 6/49 Lotto C(49,6,3.6)=450 Post Reply Post New Topic
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Colin F
Lotto Systems Tester Creator & Analyst
Lotto Systems Tester Creator & Analyst
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Joined: September 30 2004
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Quote Colin F Replybullet Topic: Unique Threes 450 Lines 6/49 Lotto C(49,6,3.6)=450
    Posted: March 25 2007 at 6:23am
Fairbrother 450 Line Unique Threes Matrix, Design or Cover
6/49 Lotto with minimum prize guarantee
of a three per draw
but usually much, much more.
by Colin Fairbrother
 
                                                               Qty of
                                     Comb6
 6 Prize  5 Prize  4 Prize 3 Prize  To Pay   Total%    Accum %  
--------------------------------------------------------------
   -        -        -       1         446   0.00319   0.00319 
   -        -        -       2        7541   0.05393   0.05712 
   -        -        -       3       48793   0.34892   0.40604 
   -        -        -       4      181267   1.29626   1.70230 
   -        -        -       5      458528   3.27899   4.98129 
   -        -        -       6      868738   6.21245  11.19375 
   -        -        -       7     1290840   9.23096  20.42470 
   -        -        -       8     1488470  10.64423  31.06894 
   -        -        -       9     1359799   9.72409  40.79303 
   -        -        -      10     1046097   7.48077  48.27380 
   -        -        -      11      706894   5.05509  53.32888 
   -        -        -      12      449688   3.21577  56.54466 
   -        -        -      13      268036   1.91676  58.46142 
   -        -        -      14      134717   0.96338  59.42480 
   -        -        -      15       48393   0.34606  59.77086 
   -        -        -      16       17591   0.12580  59.89665 
   -        -        -      17        5343   0.03821  59.93486 
   -        -        -      18        1822   0.01303  59.94789 
   -        -        -      19        1208   0.00864  59.95653 
   -        -        -      20        5765   0.04123  59.99776 
   -        -        1     0-16    4883034  34.91918  94.91694 
   -        -        2     0-12     570552   4.08009  98.99703 
   -        -        3     0-8       23704   0.16951  99.16654 
   -        1        0     0-10     116100   0.83025  99.99678 
   1        0        0       0         450   0.00322 100.00000 
                                13,983,816
 
This CoverMaster report should be looked at with due awareness that there is only one winning Combination which can pay out on more than one of the 450 lines. The minimum payout for 446, a very small percentage of the 13,983,816 possible Combinations is just 1 three. If you look you will see that some 1,488,470 or 10% pay 8 threes. Also some 4,883,034 or 35% pay a Four with a varying amount of 0 to 16 threes.
 
For the Cover people they just have to face the fact that this Cover, Matrix or design has the same features as their beloved C(22,6,3,3)=77 ie it is a set with the highest possible compacting of distinct threes. Worth noting is that distinctness percolates up so 9,000 distinct threes ensure that we have 6,750 distinct fours and 2,700 distinct fives.
 
For those that like to exercise the noddle you may care to ponder on why 450 of the 13,983,816 Combinations of 6 from a pool of 49 only give a possible Six win and nothing else? Don't post it as you'll spoil the thinking process for someone else! (Clue: Look closely at the previous paragraph.)
 
This Lotto Structured Number Set™ is an extensionof my Unique Threes Matrix  although, obviously, arrived at programatically.
 
Ce´ la Vie!
 
Regards
Colin Fairbrother
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