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FriYay Puzzle

Dante_son

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Hi guys,
Well seeing as how no one has put up a puzzle yet try this one out, it took me a full week to figure it out back in high school.

In a school in Johannesburg there exists a group of 15 activists, whom have all vowed an oath of silence in protest against climate change. Eishkom wanting to help with the countries power situation wants to build a new nuclear power plant with a Russian built RBMK Type reactor. The problem Eishkom are having though is that the protesters are getting a lot of media coverage and as such Eishkom are receiving huge public backlash for wanting to build the power plant. Eishkom then decides to contact their counter parts in Russia for assistance who says they have a modified chicken pox virus that is highly contagious and that will kill of all the protesters.The only sign that they have been infected will be a pink spot that will form on their forehead. The protesters having heard about this virus have decided they will all gather in the school hall and that those that have been infected will leave. In the school hall there are no mirrors and all the protesters still maintain their vow not to communicate verbally or non-verbally. They stand in a circle looking at each other. Each protester is unable to see their own foreheads yet after the meeting only all the infected protesters leave. How is this possible?

As always PM me your answers
 
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Strange, tags do not seem to work in Riddle Master Threads
 
Hey all

So i believe i have stumped everyone. I will give you all a clue,

All the protesters are master logicians , meaning that they are experts in art of the logic. Think Spock from Star Trek.

 
Ok so the answer to this is;

“In order to solve it you first have to consider a scenario, where there’s only single ill protester. He looks around, fails to see anyone with a spot on their forehead and so concludes that he himself has to be the one with the disease. He packs his things. Now, consider there are two ill protesters, say you and me. You see that I (and no-one else) have a spot on my forehead, so you naturally expect me to leave. But I don’t because I see you with the spot and expect the same from you. The only possible reason is that we both have the spots, so we both pack our things and leave.

Now, there is you, me and John. We both clearly see that John is sick and each one of us see one additional spotty monk. John, on the other hand, sees the two of us. So each one presumes that the other two will have left band the only reason why they have not is that there are actually three of us who have the spots. So we all just leave together.

The rest is just extrapolation. Each additional ill protester makes the inference”
 
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I figured it was built on the Monk riddle. My uncertainty came from: so you and me, we see each other, see the other one is sick, expect them to leave, the day fades, next day, we see each other, realise its us both that are infected and we leave together as you say.
However, John was looking at us both from the side. John is not infected, he expects us both to leave that day. He sees us the next day, we see each other, we realise its each other, and we leave, but John? He must be wondering, why didn't we leave, with no relation to his status?

Unless I'm just doff...
 
Well the premise is that when john sees the two guys leave he knows that he is uninfected as if he was infected the two guys would still see him and not leave.

Its all basing your actions on the actions of everyone around you knowing that they are basing their actions on yours.
 
Still confused here. Person A sees Person B. Both are infected. A sees B the next day, and B sees A the next day. They expected the other to leave the day before. They didn't. They now "know" that they too are infected and both leave.
Person C looks at both fools, and just wonders why the F are they still there each next day, if they are clearly infected. Why wouldn't they leave, even if they see him infected or not?
 
Still confused here. Person A sees Person B. Both are infected. A sees B the next day, and B sees A the next day. They expected the other to leave the day before. They didn't. They now "know" that they too are infected and both leave.
Person C looks at both fools, and just wonders why the F are they still there each next day, if they are clearly infected. Why wouldn't they leave, even if they see him infected or not?

I agree with this.... It's not logical at all. I think my many answers were more logical than this
 

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