Re: lottery ... numbers are in practice always a random distribution rather than a numeric sequence
Yes, that is true. When choosing numbers, people tend to go for "familiar" numbers, often birthdays. There has been quite a bit of "research" into the "best" numbers to pick for a lottery. Since, as stated, any one combination is a likely as any other, clearly the best numbers to choose are those least likely to be chosen by other players such that if you do win the jackpot, you minimise the chances of having to share with others. Of course, all that "research" might be negated by the fact it exists and now people know about it. On the other hand, "human nature" :-)