[mtrawls]

Okay. I, too, have heard those before, so I'll propose my own (well, as you might guess, it is by no means original with me). Suppose that there is a game where we flip a coin. If the first time the coin is flipped it lands on heads, I pay you $2 (2^1), if the first time it lands on heads is the second toss, I pay you $4 (2^2), if the first time it lands on heads is the third toss, I pay you $8 (2^3), ad infinitum. Using simple probability, tell me how much you would pay me to play this game and still be able to make a decent profit (but enough to tempt me to agree to the game).