Hello,

I have this (unsolvable for me) question to solve :


A QCM question is ranked by difficult level : 1 for a very easy question ----> 8 for very difficult question.

A player is ranked by its knowledge level : 1 for a very unskilled person -----> 8 for a very skilled person.

Questions ranked 1 are answered correctly by 100% of players ranked 1 to 8
Questions ranked 2 are answered correctly by 100% of players ranked 2 to 8
etc...
Questions ranked 8 are answered correctly by 100 % of players ranked 8

Questions ranked N are answered correctly by 80% of players ranked N-1
Questions ranked N are answered correctly by 60% of players ranked N-2
Questions ranked N are answered correctly by 40% of players ranked N-3
Questions ranked N are answered correctly by 25% of all players ranked N-4 and above.

Each player (of any knowledge rank) is ranked by a risk-taking level : Cautious players are ranked 1 - Average players are ranked 2 - Audacious players are ranked 3.

Players with risk-taking level 1 and knowledge level N dares to answer to 100% of questions level N, 50% of level N+1, 25 % of level N+2, 0% of more difficult questions.
Players with risk-taking level 2 and knowledge level N dares to answer to 100% of questions level N, 75% of level N+1, 50% of level N+2, 25% of level N+3, 0% of more difficult questions.
Players with risk-taking level 3 and knowledge level N dares to answer to 100% of questions level N, 90% of level N+1, 75% of level N+2, 50% of level N+3, 25% of questions level N+4, 0% of more difficult questions.


What is the percentage of good answers (if answered) by a player of knowledge level X, with a risk-taking level Y, answering a question of level Z ?
What is the percentage of questions not answered ?

Thanks for any help.
Askalian