
Posted
Odds aiLotto Software Neural Network  Cossack* Model 










Past Winning Statistics** 




68% C.I. 
68% C.I. 
95% C.I. 
95% C.I. 
99% C.I. 
99% C.I. 

Matches 
Total 
Average 
St. Dev 
 1 S.D. 
+ 1 S.D. 
+/ 2S.D. 
+/ 2S.D. 
+/ 3 S.D. 
+/ 3 S.D. 

3 Numbers 
421 
5.538095238 
5.095365126 
0.44273 
10.63346 
5.980825 
16.17156 
11.51892 
21.70965 

4 Numbers 
182 
12.86740331 
11.94962056 
0.917783 
24.81702 
13.78519 
37.68443 
26.65259 
50.55183 

5 Numbers 
11 
182.4 
110.000202 
72.3998 
292.4002 
254.7998 
474.8002 
437.1998 
657.2002 

6 Numbers 
5 
344.75 
166.4739719 
178.276 
511.224 
523.026 
855.974 
867.776 
1200.724 

Grand Total 
619 




Total
Draws for Period Under Review 2342. 



Probability
of Winning Any Prize With Predictions for Period Under Review once every 4
draws. 

Probability
of Winning 3 of 6 Prize With Predictions for Period Under Review once every 6
draws 

Probability
of Winning 4 of 6 Prize With Predictions for Period Under Review once every
13 draws 

Probability
of Winning 5 of 6 Prize With Predictions for Period Under Review once every
213 draws 

Probability
of Winning 6 of 6 Prize With Predictions for Period Under Review once every
468 draws 


Posted
Odds of Winning Lotto649 By Western Canada Lottery Corporation 



Match 
Prize 
Odds/$2 Play 


6 of 6 
Share of 80.50% of Pools Fund* 
1: 13,983,816 


5 of 6 + Bonus 
Share of 5.75% of Pools Fund* 
1: 2,330,636 


5 of 6 
Share of 4.75% of Pools Fund* 
1: 55,491 


4 of 6 
Share of 9.00% of Pools Fund* 
1: 1,032 


3 of 6 
$10 * 
1:57 





Odds of winning any
prize are approximately one in 32.3 





All odds are
approximate. 




Source:
http://wclc.com/games/lotto649_extra/game_info/rules.html 




Terms
Defined 


Total:
Total number of draws having matched the winning Lotto649 numbers 


Average:
Average time number of draws between last occurrence of matching winning
Lotto649 numbers drawn 


St.
Dev.: Standard deviation for average time between number of draws for last
occurrence of matching winning Lotto649 numbers drawn 


C.I.:
Confidence intervals based on the normal distribution for expected
occurrences between draws of matching winning Lotto649 numbers drawn 


Interpretation
of Statistical Results 


For
example, there have been a total of 421 draws where 3 predicted numbers have
matched the Lotto649 draw for the given date. 

Based
on the past draws it is expected that on average a 3 number match will occur
every 5.538095 draws. 

Based
on the past draws it is expected that on average a 3 number match will
deviate from the average an expected 5.095365 draws. 

Based
on the normal distribution for one standard deviation the average time
between matching three numbers will vary 

from
.444273 draws to 10.63346 draws. 

For
the other confidence intervals of 2 standard and 3 standard deviations
similar expectations of variability can be expected as given above. 



Expected
Draw Date For Next 6 Out of 6 Matching Event 



Based
on the 99% confidence interval for 3 standard deviations we would expect that
another 6 of 6 match will occur between draws 

2851
and 3184. The expected time period for another 6 of 6 matching occurrence
will occur between draws 2506 and 2839 based on the 95% 

confidence
interval for 2 standard deviations. All lotto players over 50 hope the
correct confidence interval will see the next 6 out of 6 match 

occur
between draws 2161 and 2494. 



For
further information on statistical terms and the basis for the above
calculations you can click on the link below: 


Engineers
Statistics Handbook 


*
The basis of the neural network model used
is on the GMDH algorithm developed by Professor Alexey Ivakhnenko of
Ukraine. 


Professor
Ivakhnenko's biography may found on the link provided below. 




http://www.gmdh.net/GMDH_ag.htm 





Western
Canada is home to many having Ukrainian ancestry and the term Cossack is one
that describes the legendary fighters who have defended 


Ukraine
over many centuries. The spirit and determination of this fighting group is
one lotto players everywhere can use as an example of 


overcoming
the odds and fighting the conventional wisdom within the mathematical
sciences that all lotto draws are random events. 



**Model
results are for Lotto649 draws from June 12, 1982 to July 1, 2006. The model
was developed in 1999 and remains as originally constructed. 

















