I took a different 1 euro coin, out of the SAME pocket, mind you... and just produced the following series of results: H H T T T T H H T H H H H H H H T H H .
It seems like THIS coin tends to produce long series of heads, and also yields heads 70% of the time. Now I can do one of two things with this newly developed knowledge about my two coins:
(1) I can go into a bar, confident of my two coins' abilities and trick some guy into betting against me, when I *know* my coins are unfair. Or,
(2) I can recognize that both my coins are actually most probably fair, and will yield about 50% of each heads and tails, in the long run, and NOT throw away my money in the bar.
Here, you've walked into the wild west LRC saloon, threw your coin (race stats) down on the table and challenged us all to a bet about doping, believing in your heart your coin contains some hidden wisdom not known to the rest of us. I defy you! Your coin does NOT contain unfair hidden wisdom.
(All in fun of course; I do admire the effort you took to work out the stats and think it all through, I simply don't agree that any conclusions are warranted)