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Posted 23 April 2008 - 02:48 AM
Posted 25 May 2008 - 06:07 PM
Posted 05 November 2008 - 09:43 PM
Posted 09 July 2009 - 11:07 AM
1. A (top MOst): Can see everyone's halos except Ds: He can answer only if B and C have same colors. Fore.g. if B and C have Yellow then he will know he and D have Blue color halos. But in case B and C have different color halos, A can't be sure whether he has Blue or Yellow.
2. B knows taht A has now shouted the answer, so B's and C's halos are not of same colors. They have to be different for A to not to should out the answer. So B has to just look down for C's color. If C is Blue,then B is Yellow, else vice versa.
So B is the winner.
Posted 08 October 2009 - 05:52 AM
The wording should be changed to say that the Angels actually speak their guess out loud. I read "guess" as "silently figuring it out" because "guess" is an internal thought process, at which point I concluded that A was the only one with any hope of figuring out his own color and only when B&C have the same colors as each other.
So, when a guess IS possible, it's only A that can do it... unless the wording is changed.
Not completely true. If A saw that B and C had the same color, A would immediately know that it's color was the other one. If A saw that B and C had different colors, A would not be able to make a guess. When A didn't speak, B would realize that A did not know, and therefore B would know that B and C must have different colors. Knowing that it's color was not the same as C, B would be able to determine that it's color had to be the other one.
So if B and C's colors were the same, A would be able to guess. If A could not guess, B would know it's color was the other color from whatever color C is.
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