Yes, this description is accurate.
  • If the configuration is BBWW or WWBB, then prisoner 3 answers, B or W, respectively.
  • If the configuration is WBWB or BWWB, then prisoner 2 answers W
  • If the configuration is WBBW or BWBW, then prisoner 2 answers B
Logic:
  • 4 will not answer because he has no info
  • If 3 sees two of the same color, he must have the opposite color
  • If the process gets to 2, then he knows that he and 1 have opposite colors.
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