# Lotto Odds 6/49 Lottery Filter Probability

Posted by James on April 22, 2001.

Is there a way to create a formula, to calculate the odds for a combination of the following possibilities; without running all the different possibilities, through each lottery combination? It's easy to figure out the odds for each possibility, per filter; but to figure out the odds, for a combination of the filters, is driving me crazy. To run all the possibilites through each lottery combination, would be very time consuming; and I'de doubt that you could have a text file that big. A formula, if possible, would be the only solution. If you can help, or point me in the right direction; email me at cjames14@qwest.net. I'd REALLY appreciate it!

Filters:

Excluded #'s: (1-49) 49 possibilities
Sums: (21-279): 259 possibilities
Even #'s: (0-6): 7 possibilities
Low #'s: (0-6): 7 possibilities
Consecutive #'s: (1-6): 6 possibilities
Lowest # Drawn: (1-44): 44 possibilities
Highest # Drawn: (4-49): 44 possibilities

What makes it hard to calculate the odds; is that changing one filter affects the other filters. It's hard to figure out, how many combinations are left in the remaining filters; and then to filter from the remaining.

I received several more questions on the topic of number of lotto combinations when grouping the numbers by low/high and odd/even criteria. Most of the questions seemed to be legitimate. I worked out relevant formulae regarding the lotto odds for grouping the numbers by low/high and odd/even. Read this page:
Software and formulae to calculate lotto odds using the hypergeometric distribution probability.
Also, I released software applicable to the pick-3 lottery game. The lottery software can generate combinations that apply the low/high and odd/even digit grouping. Read this page:
Basics of a Lottery, Lotto Strategy Based On: Sums (Sum-Totals); Odd/Even; Low/High Numbers.
I responded to this message here:

• Lotto, Lottery Filter Probabilities Formulae - by James.

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