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Understanding Lottery Games Odd And Even
Odd and even study high and low lottery draw patterns
in pick 3 lottery games.

There are 125 possible all even combinations in the pick 3 lottery numbers from 000-999
and there are 125 possible all odd combinations.
These include the all even and all odd doubles and triples.
For a total of 250 all even or all odd game possibilities.
That is 25 percent of the 1000 possible numbers or a 1 in 4 chance that all even or all odd numbers will be picked.
Broken down the totals are:

  • 5 all even triples
  • 5 all odd triples
  • 60 all even doubles
  • 60 all odd doubles
  • 120 all even mixed combinations
  • 120 all odd mixed combinations

You don't have to be a mathematician !
There are many theories on the laws of large numbers , just some are Borel's law of large numbers, Chebyshev's inequality, The Uniform law of large numbers, Strong law and Weak law of large numbers. All with complex calculations behind them like this.
mathematical equation example one
mathematical equation example 2

If your not a mathematician
For the purpose of explaining the examples on this page we have boiled it all down to this.
Lets look at odd and even numbers like a fair coin toss the odds are 50 50 one side heads the other tails. Winning a coin toss would be child's play if in fact every other toss was heads. But in practice this is not the case. You may flip three coins in a row that are heads, or even more then 3 times. However according to many theories on the laws of large numbers eventually you will toss half heads and half tales, if you play the game long enough. If a very large number of coins or lottery balls are tossed it is likely to be very close to half odd and half even. The proportion of odd vs. even will almost surely converge to 50 50 as the number of tosses or picks increase. There is no principle that a streak of one value odd or even will immediately be balanced by the other.

In other words, if there is a game of all odd numbers picked, there is no reason to believe that the next game will be all even. But eventually the odd and even picks will converge to 50 50. In the examples below we show how odd and even draws progress. The charts below will help you come up with a guideline for when converging balanced odds become true.
All of these totals come from the first 700 games in the 2009 Pa. State lottery online pick 3 history.

Games 100
Game
Total
Even
100
Game
Total
Odd
All
Games
Total
Even
All
Games
Total
Odd
1-100 148 152 148 152
101-200 154 146 302 298
201-300 157 143 459 441
301-400 146 154 605 595
401-500 156 144 761 739
501-600 143 157 904 896
601-700 142 158 1046 1054
Games 100 Game
Percentage
Even
100 Game
Percentage
Odd
All Games
Percentage
Even
All Games
Percentage
Odd
1-100 49.333% 50.66% 49.333% 50.66%
101-200 51.33% 48.66% 53.33% 49.66%
201-300 52.33% 47.66% 51% 49%
301-400 48.66% 51.33% 50.416% 49.583%
401-500 52% 48% 50.73% 49.26%
501-600 47.66% 52.33% 50.22% 49.77%
601-700 47.33% 52.66% 49.80% 50.19%

Odd even number study graph one

More even then odd numbers ran true for more then a 300 game period. However if you look at the enlarged sample of part of that run, you will see that odd and even in fact did converge several times if we had started our count at a different time.


First 20 games Red letters mark the ball where odd and even
converge with odd and even picks at the actual 50 50 odds.
Numbers picked
Games
1 -20
odd even % Odd % Even Total Odd Total Even
510 OOE 66.66% 33.33% 2 1
545 OEO 66.66% 33.33% 4 2
162 OEE 55.55% 44.44% 5 4
046 EEE 41.66 58.33 5 7
443 EEO 40 60 6 9
274 EOE 38.88 61.11 7 11
092 EOE 38.09 61.90 8 13
737 OOO 45.83 54.16 11 13
132 OOE 48.14 51.85 13 14
732 OOE 50 50 15 15
969 OEO 51.51 48.44 17 16
787 OEO 52.77 47.22 19 17
175 OOO 56.41 43.58 22 17
438 EOE 54.76 45.23 23 19
441 EEO 53.33 46.66 24 21
792 OOE 54.16 45.83 26 22
475 EOO 54.90 45.09 28 23
063 EEO 53.70 46.29 29 25
723 OEO 54.38 45.61 31 26
888 EEE 51.66 48.33 31 29

The table below shows the first 100 games Red letters mark the ball where odd and even
converge with odd and even picks at the actual 50 50 odds.
Letters with purple background mark games that odd and even picks came within plus or minus 1 of 50 50 picks but did not converge.
Games with highlighted backgrounds are all odd or all even games.

Games 1-20 Games 21-40 Games 41-60 Games 61-80 Games 81-100
OOE EEO OOO OOO OEE
OEO EOE OOO EOE EEO
OEE EEE EOE OEO OOO
EEE OEE OOE EOE EEE
EEO OEE EOE EOO OEO
EOE EOO EOO OEO EEO
EOE EOO EOO EEE OOO
OOO EEO EEO EOE OOE
OOE OEE OOE EEE OEE
OOE EOE OOO OEE OEE
OEO EOO EEE OEE OOO
OEO EOO EOE OEE OOO
OOO EEE EOO OEO EEO
EOE EEO OEO EOE EEO
EEO EEE OEE OOO EEO
OOE OEO OOE OEO OOE
EOO EEO EOO EOO EOE
EEO OOO EEO OOO EOE
OEO OEO OEE OEO OEE
EEE EEO OOO EOE EEO
100 Game Percentage Odd 50.66% Even 49.33%
Average Games between all odd or all even 4.54
Most Games between all odd or all even 9

Graph of first 100 games
Key - Red bar up at line 5 represents 5 more even numbers picked then odd numbers
Odd even number study graph two
Game 1 Game 100
Largest difference between even and odd -
11 more even numbers picked then odd in the first 100 games.

Odd even number study graph one

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