Originally posted by Rob50 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
1. When placed inside the ball machine for a drawing, the order of the numbered balls is as natural as the coloured balls. In other words, no natural order exists in either group, as they are tumbling about in there.
2. The value of the numbered balls, once drawn, is the same as the value of the coloured balls. The value is only used as an identifier at that point, not as a quantifier.
The rest of your post is spent calling people stupid for thinking that 1-2-3-4-5-6 is less probable than the combination 1-12-28-35-41-19, whereas if you had followed any of the older discussions here, you would have plainly seen that exactly the opposite had been asserted by most - that each individual combination of six numbers had an equally probable chance of being drawn.
Then, out of nowhere you stated the following...
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.
Can you please point me to a post where someone stated: "the average of ball #10 and ball #20 is ball #15". Thank you.
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).
Umm... so you want us to use... numbered labels then? How is that different from what is being used now?
Anyhow, as I've stated to Powerball in our last little post-off, you will always see some kind of bias and it is that bias that we quantify. If you switch to colours, you will, after a few hundred or thousand draws, also notice a bias. It may be that the balls in the blue spectrum of colours seem to be drawn more often, it may be the pinks, it may be the greens. The pinks may favour being drawn with the yellows, or in a group with yellows and blues most times, the white ball may never be drawn with the black ball. One thing is sure - there may not be a definite pattern, but there will be a certain bias.
I am not "prejudiced" towards numbers or colours, I am biased. Any which way you look at it, there will be a bias. There is a bias in monster storms happening every so many years apart, there is a bias in black panthers being born every so many litters, there is a bias in you picking/liking certain people over others at first glance, there is a bias in everything in the universe. There is a bias in balls, whether they are numbered, or coloured, or both. Regardless of what "labels" you want to apply to the lotto balls, Rob50, there is a bias in how we prefer to follow the history of those balls. The bias is towards numbers.