Each of the 289 buttons has a number tied to it between 1 and 10^100 (1 Googol). Click a button to reveal its number, and if you think it is the overall maximum, click STAY!. Will you risk clicking another button? If you choose to move on after finding the max, you lose, but you won't know if you did! Will you give up after that point to try to maximize your score or not? Also, if you choose to stay and it's not the max you lose.
All original coding. Song: Pinball Wizard Bluegrass by the Hillbenders There is a strategy to winning close to 1 in 3 times! Divide the 'population' size (289) by euler's number (e, approx. 2.719), and you will get 106 ish. View 106 of the buttons, and then stop for any subsequent 'largest guess', and you have a great chance of being right! This phenomenon actually would work for most configurations of numbers, and simulations of these games can be performed by pressing the '!' key.