The Price Is Right–On the popular TV game show The Price Is Right, at the end of each half hour, the three winning contestants face off in the Showcase Showdown. The game consists of spinning a large wheel with 20 spaces on which the pointer can land, numbered from $0.05 to $1.00 in 5-cents increments. The contestant who has won the least amount of money at this point in the show spins first, followed by the one who has won the next most, followed by the biggest winner for that half hour. The objective of the game is to obtain as close to $1.00 as possible without going over that amount with a maximum of two spins. Naturally, if the first player does not go over, the other two will use one or both spins in an attempt to overtake the leader. However, what of the person spinning first? If he or she is an expected value decision maker, how high a value on the first spin does he or she need to not want a second spin? Remember, the person will lose if:

a. Either of the other two players surpasses the player's total or

b. The player spins again and goes over $1.