The fruitlessness of your attempt to draw the one particular pre-named sequence from even 20 coins would be a marvel to you. And if you had 50 coins -- it would be for all practical intents, impossible.
If it happened -- the more likely assumption would be that you cheated. Even with twenty coins, you're coming back from the lab in under five minutes -- it is certain beyond a reasonable doubt that you cheated.
That is YOUR fallacy. You are trying to say that our exact existence was predicted when it was not.
We are here as we are, not as predicted. You yourself said that if something exists, the probability of it existing is ONE. Thus the probability of our existing is ONE. Now run back to your creationists web-site.