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?
If a person has $1000^x, then $5*x is approximately the fair admission price of the game.
If the admission price of the game is $100, then the person must have at least $1000^20 to play it. It is extremely doubtful whether even ELON MUSK has that amount of money.
Edited on December 28, 2022, 2:16 am