Your friend builds a irevolutionaryl machine capable of the complex task of playing rock. paper. scissors. Upon prompting. the machine will gesture to indicate. with equal probability. either rock. paper, or scissors. The machine also has a display that shows the last two choices from previous games. After extensive testing. you discover a bug in the machine. When the machine chooses rock three times in a row. it always chooses scissors next. That means if it chooses rock three times, a player choosing rock next will aIWays win. Your friend challenges you to heat the machine in a single game. and you note that the display shows it chose rock on the previous two games. Does choosing rock for the next game improve your chances. or are all outcomes equally likely? Justify your