()) (3 marks) You are at a casino playing the following game against a machine. You want to find the strategy that maximizes your expected payoff. You begin with score 0. A biased 6-sided die is thrown. The numbers 1, 2, 3 and 4 each come up with probability 1/10; the numbers 5 and 6 each come up with probability 3/10. If the 1 comes up the game is over and your payoff is zero. Otherwise you add to your current score the number showing on the die. You now decide whether to stay in the game or quit. If you quit, your payoff is your current score. If you stay in the game the die is thrown again and the game continues as above. Find the strategy that maximizes your average payoff per game