A simple computer game is designed as follows: at the start of the game, 5 identical icons are displayed on the screen and the computer chooses one of the icons at random to be the winning icon. The player does not know which icon the computer has chosen as the winning icon. The player then picks an icon: if he chooses the winning icon, he scores 100 points; if he chooses any of the other 4 icons, he scores -20 points. If the player picks one of the four non-winning icons, the screen refreshes and a new set of 5 identical icons are displayed and the computer once again chooses at random one of the 5 icons to be the winning icon. The player plays a series of games which ends when the player successfully chooses the winning icon. For such a series of games, find (a) the probability that the player's total score is negative. (b) the expected total score.