You're playing a game with me: You keep drawing numbers from my infinite magical random number generator. That super awesome magical number is drawn randomly (uniform) from 0 to 1. When you get your first number that's the end of round 1. When you get the second number, that's the end of round 2 and so forth. At the end of each round you sum up all the previous numbers and if they > 1 that round ends and you play no more games. So for instance if you draw: 0.234, 0.52149, 0.73 --> you've played 3 rounds and get 3 dollars. How much should I charge you to play so that I end up on average with one dollar profit