January 4th, 2007, 10:15 am
Your favorite baseball team is playing against your uncle's favorite team in theWorld Series. At the beginning of each game, you and your uncle bet on the game's outcome.Your uncle, being wealthy and carefree, always lets you choose the amount of the bet. Ifyou bet b dollars and your team wins the game, your uncle gives you an IOU for b dollars.But if they lose the game, you give him an IOU for b dollars. When the series is over, alloutstanding IOUs are settled in cash. You would like to walk away with $100 in cash if yourteam wins the series, and lose $100 if your team loses the series. How much should you beton the opening game? (For non{baseball fans, the rst team to win a total of four gameswins the series).