Questions: Charles is playing a game involving two coloured lights. In each turn, one, both or neither of the lights flash. Charles moves forwards, backwards or doesn't move, depending on which of the lights flash, as shown in the table below. The probability that the green light flashes is 0.5 The probability that the pink light flashes is 0.4 The probability that neither light flashes is 0.2 How far away from his starting position would you expect Charles to be after 100 turns? Give your answer in metres (m). Light that flashes Distance moved Only green 2 m forwards Only pink 3 m forwards Both 1 m backwards Neither None

Transcript text: Charles is playing a game involving two coloured lights. In each turn, one, both or neither of the lights flash. Charles moves forwards, backwards or doesn't move, depending on which of the lights flash, as shown in the table below. The probability that the green light flashes is 0.5 The probability that the pink light flashes is 0.4 The probability that neither light flashes is 0.2 How far away from his starting position would you expect Charles to be after 100 turns? Give your answer in metres (m). \begin{tabular}{|c|c|} \hline Light that flashes & Distance moved \\ \hline Only green & 2 m forwards \\ \hline Only pink & 3 m forwards \\ \hline Both & 1 m backwards \\ \hline Neither & None \\ \hline \end{tabular}