- Two suspects: Jacques & Gilles. It's been proven that one of them is guilty and deserves decapitation, but we do not know which one.

- Jacques is guilty if and only if both statements P and Q are true. Otherwise, Gilles gets the guillotine...

- There are 9 independent judges and an arbiter (you) who interprets their collective decision with no information about the case.

Situation A

- 4 judges think P&Q are true

- 3 believe only P is true and that Q is false

- 2 believe only Q is true and that P is false

Situation B

- 5 judges think both P&Q are true

- 4 judges think P is false and Q is false

Situation C

- 5 judges think P&Q are true

- 2 believe only P is true and that Q is false

- 1 believes only Q is true and that P is false

- 1 believes that P is false and Q is false

What is your verdict for each of these situations? Perhaps this thread needs to move to philosophical banter?

Cheers!