A target at a fair has twelve sections, marked as shown above. Participants throw four darts at the target. They win a prize if all four darts land in different sections of the target and the total score is at least 30. Phil has thrown two of his four darts, scoring 12 and 8. He is confident that whenever he throws he will hit the target and, whatever section he aims at, the dart will never land further away than one of the two neighbouring sections. With this in mind, he realises that if he aims his third dart at 5 or 6 he can be confident of winning a prize.