Dice Game and Lottery Game Comparison
same odds 1:36
or
Why to choose or not to choose 1-2-3-. . . in Lottery
Here is a "sums chart" for a Dice Game using two die, one white and one red. The sums chart list all 36 combinations.
SUMS CHART for dice game
2 3 4 5 6 7 8 9 10 11 12
1-1 1-2 1-3 1-4 1-5 1-6 2-6 3-6 4-6 5-6 6-6
2-1 2-2 2-3 2-4 2-5 3-5 4-5 5-5 6-5
3-1 3-2 3-3 3-4 4-4 5-4 6-4
4-1 4-2 4-3 5-3 6-3
5-1 5-2 6-2
6-1
Any of the 36 combinations has the same chance of being rolled. 1-1, 6-6, or 3-4 can all hit and they all have the same chance.
...but the object of the dice game is to roll a seven or eleven, to win. Many chances (eight) for the right winning combination to pop up.
Why can't lotteries be like that?
It is my hope that I can prove to myself, at another time, that "7"s hit more times in dice for the same reason, that "sums combinations" of 150 hit more times in a 6/49 Lottery.
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Here is a "sums chart" for a drop ball Lottery Game using 9 balls. 2/9 odds 1:36. The sums chart list all 36 combinations.
Choose 2 different numbers from 1 through 9
SUMS CHART for 2/9 lottery
3 4 5 6 7 8 9 10 11 12 13
1-2 1-3 1-4 1-5 1-6 1-7 1-8 1-9 2-9 3-9 4-9
2-3 2-4 2-5 2-6 2-7 2-8 3-8 4-8 5-8
3-4 3-5 3-6 3-7 4-7 5-7 6-7
4-5 4-6 5-6
14 15 16 17
5-9 6-9 7-9 8-9
6-8 7-8
If this lottery could be won by "rolling a 10", any one of the 4 combinations would be a winner.
Why can't Lottery Games be more like dice games?
Just a few thoughts,
BlueDuck