Map Selection: I never get certain maps

[TheGreatErenan]

(05-16-2013 06:00 AM)Mag!cGuy Wrote:  The coin doesn't remember what happenned before, so there are as much chances to get for example (let's call one face 1 and the other face 2) 1-1-1-2-1-1-1-1-2-1 as to get 1-2-1-2-2-1-1-2-1-2, no?

Yes, when you compare two exact sequences of coin flips, they are equally likely. However, there are far, far more ways to get 5 heads and 5 tails (many, many ways) than there are to get 10 heads in a row (only 1 possible way).

For instance:

1-1-1-1-1-2-2-2-2-2
1-1-1-1-2-1-2-2-2-2
1-1-1-2-1-1-2-2-2-2
1-1-2-1-1-1-2-2-2-2
1-2-1-1-1-1-2-2-2-2
2-1-1-1-1-1-2-2-2-2
1-1-1-1-2-2-1-2-2-2
1-1-1-2-1-2-1-2-2-2
1-1-2-1-1-2-1-2-2-2
1-2-1-1-1-2-1-2-2-2
2-1-1-1-1-2-1-2-2-2

and so on...

In fact, there are 1024 ways. (2^10 = 1024)