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lets calls these 3 people person A,B,C. We will look at this from the perspective of person A. Ok, the blindfolds are removed. Person A can see a black dot on both person B and C. All three people raised their hands. All three have seen atleast one black dot. If person A has a white dot, the other two people being very skilled in logic, would immediately deduce that they each had black dots. Think about it, person B sees a white dot on person A, and sees that person C raised his hand. Meaning that person C had seen a black dot. But, since person A had a white dot, the only way C could have seen a black dot is if it were on person B. If person B were skilled in logic he(person B) would immediately deduce that he(person B) had a black dot. And of course person C would do the same when he(person C) sees the white dot on person A and sees that person B raised his(person B) hand.
But we know of course they all have black dots. So, all person A would have to is wait a couple of moments to see that neither person B nor C can immediately deduce the color of their own dots and he(person A) can deduce via the lack of a deduction from either person B or C that he(person A) must have a black dot!
well Starboy?