A gambler has a strategy in which if they lose at a game, they will bet double the previous bet to make up for what they lost. Assume there is no limit on how much
they can bet. They initially bet $15 on the first game.
(This is a terrible strategy, and requires already having a lot of money to begin with.)
a) If they lose 11 games in a row, how much money did they lose on the 11th game
only?
b) How much money did they lose on all 11 games combined