Question 13
A game consists of 10 throws of a normal cubic die with the faces numbered from 1 to 6. At the end the scores obtained are added, with the rule that if you get a 6 in one throw the points of the next throw are counted doubled and that if you get a 6 on the last throw you are entitled to one (only) additional throw to which the score (not doubled) is added. Which of these final scores cannot be obtained?