We play a game as follows:
I place one dollar on the table. I repeatedly flip a coin. Each time the coin comes up heads, I double the money on the table. The first time the coin comes up tails, you take the money and the game is over.
What's a fair admission price for the game?
Would you play the game with me for $100?
I agree with most of what has been said here.
What i dont really agree with is that its a case of theory vs reality. I gather its more
like theory vs more theory. My superficial knowledge of math does not include what i
intuitively understand about this problem..
(convergence and expectancy anyone?)