I had a number generator randomly generate lists of 0 or 1s. 0 was left and 1 was right. I did this 500 times. It was able to guess the number entered 49% of the time. The balance never went below $1000. The interesting thing is the graph when through a cycle. It started out at $1000, climbed to $1030, dropped back to about $1000, then climbed back to about $1030. It was on its way back down again when I stopped. I'm tired of playing the game, but I wonder if the cycle would've continued and if there is an explanation for the cycle.