what statistics says is if you flip a fair coin 2 million times then the
fraction of heads will be very close to 0.5 but the difference between the
number of heads and the number of tails is not zero and can grow to a very
large number when the number of flips is 10 or 20 million or more. I think this
is related to the gambler's ruin problem.
hope this helps
anton


In article ,
says...

Here is my result: 8 heads, twelve tails.

You have a biased coin