I once participated in a test where the answers had to be chosen from the first 10 letters of the alphabet (A-J).
Not bothered too much about the solution, I merely answered by matching the letters with numbers 1 to 10 in strict alphabetical order. I managed a score of only 2/10!
I showed the result to a friend of mine who bettered the score to 5/10 with his attempt.
The same test was passed on to five more people, each who was entitled to view all previous results. All of them scored 7/10, meaning that no one was spot on.
(1) What is the probability that the next person will get 10/10 on his first try?
(2) If you were to submit a solution as contestant № VIII, which letters would you enter to ensure that you obtain full marks?
Here’s the score sheet for attempts I to VII: