Zero
Prime
All things are possible...
Posts: 3,921
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Post by Zero on Sept 6, 2013 14:15:21 GMT -4
After my failure to produce an answer, I relented and looked up similar teasers.
What we have here is a no win scenario, like Hunter said, or you chopped up the original.
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Post by Jakob on Sept 6, 2013 19:43:38 GMT -4
Actually, the answer I learned was the following:
The prisoners agree that the first person to go up will determine whether the number of Red (or blue) hats is even or odd. (They would agree that the fastest counter would go up first)
We'll use "Red" as an example.
If the number of red hats is even, they choose red. If odd, they choose blue. The prisoners already know this code because they determined said code prior to the event. For example, the first prisoner will see an even number of red hats, so he/she will choose red, regardless of what colour hat he/she happens to have. The first prisoner will be sent to their fate.
The next person to go up would check the number of red hats. If the number of Red hats has not changed to an odd number, that means said prisoner must be a blue hat- and will therefore choose blue.
The next person goes up does the same count, and sees that the red hats are now an odd number- a changed number. Logically, that means the prisoner has a red hat, and he would therefore choose red.
This pattern continues until at-best, everyone goes free, or alternatively, the first guy takes the fall.
Or the first prisoner decided to troll everyone else. Then a good handful of people would die.
At least... that's how my brother put it.
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Post by Hunter on Sept 6, 2013 20:28:57 GMT -4
Yeah, that's the standard solution, and it can be made to work for any number of hat colors, but it depends on each guy knowing what color the last guy guessed. (In most versions of the problem, they also know whether the last guy got killed, which allows them to recover from the case where the first guy decides to be a jerk.) If those guesses aren't communicated to the other prisoners, as you said they weren't, they won't be able to keep that code going.
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Post by Jakob on Sept 6, 2013 21:27:08 GMT -4
If those guesses aren't communicated to the other prisoners, as you said they weren't, they won't be able to keep that code going. But they don't need to. I merely mentioned the "being a jerk" point as a joke. ... Oh wait... I just figured out where the confusion popped up... I forgot to mention that the choices are announced after each prisoner chooses. Bah, after all that, I messed up. Sorry, guys.
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Deleted
Deleted Member
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Post by Deleted on Mar 31, 2018 2:56:59 GMT -4
I got one:
A musician claims he can play anything, so he acknowledged to another musician that he can play the guitar in his favorite musical scale keyed at a specific note. The other musician was angry, and called him stupid. But, despite his anger, he listened to what he can do. The "stupid" musician was playing the guitar flawlessly, and fast, and the musician became entertained. He didn't feel angry anymore.
The question is this:
What was that note?
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