The prison doors (2) ...
So, you guys helped the first prisoner, who was presented by the warden with a door selection delimma, to choose the right door and to secure his freedom. His vacant cell quickly filled with a new occupant.
The warden walked the prisoner down the corridor. There were now different signs on the two doors.
Left sign: AT LEAST ONE OF THESE ROOMS CONTAINS A LADY
Right sign: A TIGER IS IN THE OTHER ROOM
The prisoner: "Warden, are the statements on the signs true?"
The warden: "They are either both true or both false. If you are lucky and pick the room with the lady, I will set you free."
Which door should the prisoner select?
The warden walked the prisoner down the corridor. There were now different signs on the two doors.
Left sign: AT LEAST ONE OF THESE ROOMS CONTAINS A LADY
Right sign: A TIGER IS IN THE OTHER ROOM
The prisoner: "Warden, are the statements on the signs true?"
The warden: "They are either both true or both false. If you are lucky and pick the room with the lady, I will set you free."
Which door should the prisoner select?
posted by Zaux at
10:20 AM
8 Comments:
He should chose the right door.
Both the statements have to be true, because if both are false, there can't be a lady in any of the rooms and he wont gain freedom at all.
If both are true, according to the right sign the other room has the tiger, so the lady is supposed to be atleast in right door.
Purposely open the door with tiger and throw the warden inside. After eating the warden, tiger won't be hungry anymore. Prisoner can flee away freely.
The prisoner should open the right door - providing the warden isn't lying.
Both are true, so according to the right sign, the tiger is behind the left door. If both were false, then according to the left, there is not a lady behind either !
Take the left door. If both are true, then both doors have ladies behind them - The left sign states At LEAST one of these rooms contain a lady, so there may be a tiger in that room, but a lady is too (hopefully with the the tiger on a chain) so you still gain freedom. If both signs are lies, you hope that just one room has a lady and therefore the right sign is a lie and the tiger is in fact behind that door.
Left door every time.
TrueZink
Hi Sparko ...
you are right ... the prisoner should take the right door ... unless he's really into tigers :)
both signs has to be true, because, if they were false then they would disagree:
if the left sign would be false, it would mean that both rooms contain a tiger, which can't be because the right sign also has to be false, which means that left room must contain a lady, which disagrees with the false left sign.
(somehow i explained very complicate what i mean..)
so both has to be true and he should choose right door.
Assuming both are true.
Door A
Sign = At least one room has contains a lady
Contents = Tiger
Door B. A tiger is in the other room
Contents = lady
If both are false
Door A
Same sign.
Contents = Unknown what is inside. not a tiger, not a lady.
Door B
Same sign.
Contents = Unknown (It says A tiger is in the other room, meaning that if the sign is false, there is no tiger. it says nothing about a tiger being in this room)
Well, Door B is the way to go. If both are true, there is a lady. If both are false, there was no lady anyway, and at least there's a chance its not a tiger!
-Soli
right door UNLESS the warden was being a bigger jerk than he already was being and didn't put a lady in either room. ha ha.
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