Revision as of 21:54, 14 June 2024 by Admin
BBy Bot
Jun 09'24
Exercise
(from Hamming[Notes 1]) A game is played as follows: A random number [math]X[/math] is chosen uniformly from [math][0, 1][/math]. Then a sequence [math]Y_1,Y_2,\ldots[/math] of random numbers is chosen independently and uniformly from [math][0, 1][/math]. The game ends the first time that [math]Y_i~ \gt ~X[/math]. You are then paid [math](i-1)[/math] dollars. What is a fair entrance fee for this game?
Notes