Bolder-dash writes:
Your coin tossing tournament doesn't guarantee at all that someone will call ten flips in a row correctly.
Yes it does. How? Quite simple, you have each of the two people predict a head/tails flip, they have to be mutually exclusive, one of them is correct and goes through to the next round. And so on, until, after ten rounds you have 1 person left who called all of them correctly.
In your tournament, during each round, who gets to make the call?
The contestants, and they have to be mutually excluding calls, no two "heads" or "tails" in a single pair.
You have two people, but only one can make the decision of what they are calling.
No, they both decide who takes the heads and who the tails.
So in order to proceed to the next round, there is no guarantee at all that you made a correct prediction, only that you may have been standing there, while someone else made the incorrect prediction.
Or that you made the correct prediction. Either way, that's quite irrelevant.
In that sense, every single person in the world, except the guy who made the incorrect prediction got it right.
No, because you only play in pairs. One will get it correct, the other one won't.
And thus your game won't work.
Not if played in your flawed way, yes, played the correct way, however, it does.
So I gladly challenge you to find someone to get ten correct guesses in a row, with just a few people and a few coins. How much are we wagering.
How about 10,000,000 Euros? I need 1024 people and I guarantee you that I will have one person who called every throw correctly after 10 throws.
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