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10/23/2014 7:06:04 PM
3
Ultimate test of logic
100 perfect logicians are in a room, each knows:
There are 99 others.
At least 1 of them has had their forehead painted blue.
(Each doesn't know if they are blue or not.)
Scenario:
They enter the room in the dark. Then the lights turn on, they make deductions but cannot communicate with each other. Then the lights go off, and those that fully deduced that they are painted blue leave. The lights turn back on, they do more deducing, and the the lights go off and the process repeats.
The question is what happens when everyone's head is painted blue?
I ll post hints or clear any confusions if needed
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4 RepliesEdited by Verbatim: 10/23/2014 7:35:08 PMWait. Basically... The logicians all have to assume that they do not have a painted forehead for the first ninety-nine times that the light flashes on. One for every person in the room other than him, right? So, on the hundredth time the light comes on, each logician can be completely sure that their forehead is painted blue, based on the fact that no one left the ninety-ninth time the light went off. They'd all leave on the hundredth night.
