You are on a gameshow with three doors. Behind one is a goat that tells the truth, behind one is a goat that always lies, and the third one either has a goat that lies 50% of the time or a car. You don't know which door is which. You open door 1. The goat behind it says "There's a car behind door 2." Should you open door 2 or door 3?
There are three door, behind which are a car, a goat that always lies and a goat that always tells the truth.
You pick a door, but don't open it. The gameshow host then opens a different door to reveal a goat. You can ask the revealed goat one question about what is behind one of the other doors to which the answer is YES or NO (eg "is the honest goat behind the door I picked?"). However, you must write your question down before the start of the show, and the gameshow host is told what it will be (and can take that into account when, if you pick the door with the car, chooses whether to reveal the liar goat or the truth telling goat).
What question do you ask to maximise your chances of picking the car?
Order of the Stick (http://www.giantitp.com/cgi-bin/GiantITP/ootscript) answered this one... (though I'm not going to hunt down the particular strip just now)
Give the goat behind door 1 a good swift kick. If it yells that it hurt, that is the goat that tells the truth, open door 2. If it yells that it didn't hurt, it is the goat that lies, open door 3, and maybe it will be a car, or the 50% goat. In either case, you may have just kicked the 50% goat, in which case there is no car, and it doesn't matter which door you open.
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There are three door, behind which are a car, a goat that always lies and a goat that always tells the truth.
You pick a door, but don't open it. The gameshow host then opens a different door to reveal a goat. You can ask the revealed goat one question about what is behind one of the other doors to which the answer is YES or NO (eg "is the honest goat behind the door I picked?"). However, you must write your question down before the start of the show, and the gameshow host is told what it will be (and can take that into account when, if you pick the door with the car, chooses whether to reveal the liar goat or the truth telling goat).
What question do you ask to maximise your chances of picking the car?
I was thinking more of performing horses, and having the goat tap one of two signs, on which YES and NO are written.
Of course, being a goat, it is more likely to eat the signs.
I'm sure there's a pun in there somewhere.
Stick if the answer is no, and swap if the answer is yes.
Give the goat behind door 1 a good swift kick. If it yells that it hurt, that is the goat that tells the truth, open door 2. If it yells that it didn't hurt, it is the goat that lies, open door 3, and maybe it will be a car, or the 50% goat. In either case, you may have just kicked the 50% goat, in which case there is no car, and it doesn't matter which door you open.
If the goat doesn't yell, kick harder.