Question 5 (1 mark) One way to simulate a die roll with a fair coin is as follows. Toss the coin three times: . If the coin shows HHH: Output 1 . If the coin shows HHT: Output 2 . If the coin shows HTH: Output 3 . If the coin shows H'l'l': Output 4 - If the coin shows THH: Output 5 . If the coin shows THT: Output 6 ' If the coin shows 1TH or TIT: Repeat the process. It was shown in lectures that each of the six outputs is equally likely, with probability 1.6. A trial consists of three coin tosses. Note that if the coin shows 'I'I'H or | I there will be more than one trial. What is the expected number of trials before an output is produced? Enter your answer to 3 d.p.s. An answer within 10.001 will be correct. Enter number