You decide to tell the guards to read your chance card out loud.
Guard A:
Get out of jail,free.
Guard B:
Go directly to jail.
AHA! Gotcha! The Guard A is telling the truth and therefore his door is the right one. Gosh darn you are sm- oh wait, don't jinx it this time...
The door vanishes and the guard steps aside for you to pass.
You can't help but notice the deep darkness of this room. This doesn't seem very... right path-y... Maybe you should turn back...
Oh no! They closed the door on you! No turning back it seems. And it's awfully dark in here!
Huh? What is that in the distance? You step towards what seems to be a lectern with a book on it.
Hmm... now that's interesting. So what will you do?
Also Alphaeus, while I do like your unintuitive logic, it isn't enough for my even more unintuitive design. First the card is orange and it wrote ''Chance'' as you could see in the earlier pannels. Secondly the "eyes" of the guards represent the numbers in the sides of the dice. After the jail cell you moved through the white door into a room with magenta/purple walls. And each guard led to the location you would be if you rolled the number of their "eyes". However even if this might help you determine where you'll end up you don't really know if this location is already... owned, if you know what I mean. So something like Devour's logic was enough to solve the puzzle.