It is not my intention to insult anybody, but it is my right to express my opinoins and/or ideas. If they are somewhat different, or completely different from some other's ideas it is only to demonstrate how colorful this world is.
I must point out that iago and power have totally undrestood the idea (maybe they were familiar with it before), I must say also that iago has given an excellent concise formulation.
I would like to add some more stuff. There are two essential differences between a "colored balls" lottery and a "numbered balls" one:
1. The numbers have a natural order, the colors don't (or at least as obvious).
2. The numbers have a value, the colors don't
Unfortunately "value" and "order", contrary to the popular belief, instead of making it clearer and more analyzable, cover the simple core with sophisticated seem-to-be-correct statistical statements about odds and evens, sums and lengths, announcers and followers etc., all of this going to the benefit of amateur-lottery-book-writers and software makers. Now here it comes the crucial point: Is it essential for the lottery the fact that the numbers posses a value, or that they can be easily ordered?" If you think a little bit about, it is not at all difficult to understand that the numbers for the balls in the lottery are merely labels, the role of which is only to distitnguish them from each other. Nobody will state such stupidities like the ball number 1 is ten times smaller than the ball number 10, or that you can split the ball number 41 in two balls with number 21 and 20. But, no matter it is a stupidity of the same rank, for so many people the statement the combination 1-2-3-4-5-6 is less probable than the combination 1-12-28-35-41-19, because 1-2-3-4-5-6 contains numbers from only one decade and in the other combination all the decades are represented, sounds like the acme of the statistics.
Well, try to get rid of all prejudices related to the numbers (as a matter of fact "balls numbers") and start thinking in colors, or other labels you might prefer (just make sure you have 49 different labels). Use numbers to analyze the labels, if you still are able to find a statistics stick with it. It is the only valid statistics for the lottery.
The average of 10 and 20 is 15. The average of ball #10 and the ball #20 does not make any senses, and God save us from those who think that it is the ball #15.