A gambler has $2. She is allowed to play a game of chance four times, and her goal is to maximize her probability of ending up with a least $6. If the gambler bets b dollars on a play of the game, then with probability .40, she wins the game and increases her capital position by b dollars; with probability .60, she loses the game and decreases her capital by b dollars. On any play of the game, the gambler may not bet more money than she has available. Determine a betting strategy that will maximize the gambler’s probability of attaining a wealth of at least $6 by the end of the fourth game. We assume that bets of zero dollars (that is, not betting) are permissible