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Posted
Odds aiLotto Software Neural Network - Cossack* Model |
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Past Winning Statistics** |
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68% C.I. |
68% C.I. |
95% C.I. |
95% C.I. |
99% C.I. |
99% C.I. |
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| Matches |
Total |
Average |
St. Dev |
- 1 S.D. |
+ 1 S.D. |
+/- 2S.D. |
+/- 2S.D. |
+/- 3 S.D. |
+/- 3 S.D. |
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| 3 Numbers |
421 |
5.538095238 |
5.095365126 |
0.44273 |
10.63346 |
5.980825 |
16.17156 |
11.51892 |
21.70965 |
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| 4 Numbers |
182 |
12.86740331 |
11.94962056 |
0.917783 |
24.81702 |
13.78519 |
37.68443 |
26.65259 |
50.55183 |
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| 5 Numbers |
11 |
182.4 |
110.000202 |
72.3998 |
292.4002 |
254.7998 |
474.8002 |
437.1998 |
657.2002 |
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| 6 Numbers |
5 |
344.75 |
166.4739719 |
178.276 |
511.224 |
523.026 |
855.974 |
867.776 |
1200.724 |
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| Grand Total |
619 |
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| Total
Draws for Period Under Review 2342. |
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| Probability
of Winning Any Prize With Predictions for Period Under Review once every 4
draws. |
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| Probability
of Winning 3 of 6 Prize With Predictions for Period Under Review once every 6
draws |
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| Probability
of Winning 4 of 6 Prize With Predictions for Period Under Review once every
13 draws |
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| Probability
of Winning 5 of 6 Prize With Predictions for Period Under Review once every
213 draws |
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| Probability
of Winning 6 of 6 Prize With Predictions for Period Under Review once every
468 draws |
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| Posted
Odds of Winning Lotto649 By Western Canada Lottery Corporation |
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Match |
Prize |
Odds/$2 Play |
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6 of 6 |
Share of 80.50% of Pools Fund* |
1: 13,983,816 |
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5 of 6 + Bonus |
Share of 5.75% of Pools Fund* |
1: 2,330,636 |
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5 of 6 |
Share of 4.75% of Pools Fund* |
1: 55,491 |
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4 of 6 |
Share of 9.00% of Pools Fund* |
1: 1,032 |
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3 of 6 |
$10 * |
1:57 |
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Odds of winning any
prize are approximately one in 32.3 |
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All odds are
approximate. |
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| Source:
http://wclc.com/games/lotto649_extra/game_info/rules.html |
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| Terms
Defined |
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| Total:
Total number of draws having matched the winning Lotto649 numbers |
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| Average:
Average time number of draws between last occurrence of matching winning
Lotto649 numbers drawn |
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| St.
Dev.: Standard deviation for average time between number of draws for last
occurrence of matching winning Lotto649 numbers drawn |
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| C.I.:
Confidence intervals based on the normal distribution for expected
occurrences between draws of matching winning Lotto649 numbers drawn |
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| Interpretation
of Statistical Results |
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| For
example, there have been a total of 421 draws where 3 predicted numbers have
matched the Lotto649 draw for the given date. |
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on the past draws it is expected that on average a 3 number match will occur
every 5.538095 draws. |
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| 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. |
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| Based
on the normal distribution for one standard deviation the average time
between matching three numbers will vary |
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| from
.444273 draws to 10.63346 draws. |
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| For
the other confidence intervals of 2 standard and 3 standard deviations
similar expectations of variability can be expected as given above. |
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| Expected
Draw Date For Next 6 Out of 6 Matching Event |
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| Based
on the 99% confidence interval for 3 standard deviations we would expect that
another 6 of 6 match will occur between draws |
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| 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% |
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| 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 |
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| occur
between draws 2161 and 2494. |
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| For
further information on statistical terms and the basis for the above
calculations you can click on the link below: |
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| Engineers
Statistics Handbook |
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| *
The basis of the neural network model used
is on the GMDH algorithm developed by Professor Alexey Ivakhnenko of
Ukraine. |
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| Professor
Ivakhnenko's biography may found on the link provided below. |
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| http://www.gmdh.net/GMDH_ag.htm |
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| Western
Canada is home to many having Ukrainian ancestry and the term Cossack is one
that describes the legendary fighters who have defended |
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| Ukraine
over many centuries. The spirit and determination of this fighting group is
one lotto players everywhere can use as an example of |
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| overcoming
the odds and fighting the conventional wisdom within the mathematical
sciences that all lotto draws are random events. |
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| **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. |
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