I built 6 robots as slaves for my factory. They can leave if they can figure out their eye color. 4 have green eyes and 2 have red eyes. They were not built to communicate with each other in any shape or form.
First day, before work, I tell them:
1. they are all identical, with the same software for clear logical thinking and reasoning abilities.
2. they think identically.
3. only difference is I built them using different eye colors.
4. they can't see their own faces/eyes anywhere but they can see each other.
5. they must meet each evening after work to see if anyone can figure out their own eye color.
6. if a robot knows its eye color then it must go to its room, pack, and leave at midnight: it is free from slavery.
7. if a robot does not know its eye color then it must go to its room, sleep the night, work another day, and then come to the evening meeting.
Explain exactly what happens.
2007-09-30 12:45:51 · 3 answers · asked by realme 5 in Science & Mathematics ➔ Other - Science
Don't change what I told them.
2007-09-30 15:04:47 · update #1
PS They can all leave eventually. But how and why.
Just think of the 2 red eyed robots. What do they know and when do they know it.
Hint: think what a robot knows that the other robot must know.
Can anyone leave if I do not tell them anything about what eye colors I used?
2007-10-08 08:53:46 · update #2
Wow! Okay, you've got me on that one. Would you please do me the favor of emailing me with the solution? My email is in my profile. Thanks!
2007-09-30 12:59:11 · answer #1 · answered by artistagent116 7 · 0⤊ 0⤋
If you have told them about 4 green/2 blue distribution, they all leave at midnight. If a robot sees two others with red eyes, it knows it has green eyes; if it only sees one, it knows it has red eyes. Tell them only that their eyes are either red or green and that there are at least two of each eye color, and the two red-eyed ones will leave the first night; the rest the following night. In either case you will probably lose your job for making overly-simple logic puzzles and losing your work force.
If they don't know how many of each color you made, they will never figure it out.
2007-09-30 21:36:39 · answer #2 · answered by injanier 7 · 0⤊ 1⤋
They will never leave because none of them can communicate with eachother, therefore they will never know whether the color is right or wrong. And since 4 have green eyes they will probablysee different colors than the regular colors aswellas the 2 red eyed robots.
2007-10-08 15:48:28 · answer #3 · answered by Anonymous · 0⤊ 1⤋