### Lotto Tip# 6: Probability of 1 - 9 Being Drawn

What's the probability of lotto numbers 1-2-3-4-5-6 (six numbers out of 1 to 9) being drawn? Well, based on statistics, the answer is zero probability.

What if five of your numbers range from 1 to 9?
The probability is 0.05%.

What about if four of your numbers range from 1 to 9?
The probability is 0.94%.

What if three of your numbers range from 1 to 9?
The probability is 7.12%

Two numbers?
The probability is 26.89%. Now that's increasing.

The probability is 40.88%. Now that looks like you should only pick one number from 1 to 9 and the rest should be greater than 9.

What if I don't use any (none) number from 1 to 9?
Well, the probability is 24.11%.

Let's add 40.88%, 26.89%, and 24.11%. The result is 91.88%. That's a better figure. So, that means, your favorite lotto numbers should contain only, at most 2 numbers from 1 to 9, the least is one, or none at all; but never 3, 4, 5, or 6.

The table below is the result of my statistics.

Lotto Results Having 1 To 9

 Instance = 0 Col 1 Col 2 Col 3 Col 4 Col 5 Col 6
 Sum 944 944 944 944 944 944
 Percentage 24.11% 24.11% 24.11% 24.11% 24.11% 24.11%
 Instance of 1 to 9 = 0, found in 944 results

 Instance = 1 Col 1 Col 2 Col 3 Col 4 Col 5 Col 6
 Sum 1601 0 0 0 0 0
 Percentage 40.88% 0.00% 0.00% 0.00% 0.00% 0.00%
 Instance of 1 to 9 = 1, found in 1601 results

 Instance = 2 Col 1 Col 2 Col 3 Col 4 Col 5 Col 6
 Sum 1053 1053 0 0 0 0
 Percentage 26.89% 26.89% 0.00% 0.00% 0.00% 0.00%
 Instance of 1 to 9 = 2, found in 1053 results

 Instance = 3 Col 1 Col 2 Col 3 Col 4 Col 5 Col 6
 Sum 279 279 279 0 0 0
 Percentage 7.12% 7.12% 7.12% 0.00% 0.00% 0.00%
 Instance of 1 to 9 = 3, found in 279 results

 Instance = 4 Col 1 Col 2 Col 3 Col 4 Col 5 Col 6
 Sum 37 37 37 37 0 0
 Percentage 0.94% 0.94% 0.94% 0.94% 0.00% 0.00%
 Instance of 1 to 9 = 4, found in 37 results

 Instance = 5 Col 1 Col 2 Col 3 Col 4 Col 5 Col 6
 Sum 2 2 2 2 2 0
 Percentage 0.05% 0.05% 0.05% 0.05% 0.05% 0.00%
 Instance of 1 to 9 = 5, found in 2 results

 Grand Total 2972 1371 318 39 2 0

Based on 3916 results
As of Thursday, September 25, 2008
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