Colin:
>>> Nearly right. There are 25 Odd numbers. Number of sixes with all odd we can form from this is 25c6 = 177,100. Number of all possible combinations is
49c6 = 13,983,816. So probability per Draw of an all odd Combination is
25c6/49c6 = .012664. Complement of a Non all odd Combination is .987336.
Forgive me, but I don't understand your notation 25c6. Can you write this longhand so I can reconstruct the calculation and thus my error?
I usually calculate these things with the longhand factorial function.
In general, since I am a stout non-believer in predicatability of lottery numbers, I really don't care usually about what you can exactly DO with this information. I am more interested in the facts, and quantification thereof. Certainly, I would never recommend to anybody to install a filter that removes all odd or even combinations. A funny way of looking at it is this: How does each little ball know it is odd or even? All it knows it's a ball, and sometimes it is drawn.
I just reviewed Gail Howard's latest book, and I find so many 'logical statements' that appear to be utter nonsense, often related to facts like this one, with all even or all odd numbers. It does bug me that there are authors that profit by selling flat out wrong information. I guess that's the activist in me revolting.