Latest ads

Electronics
Vehicles
Property
Search

Logic ගැටළුවක්:: නිල් හිසකෙස් ප්‍රශ්ණය

sameeabc

sameeabc

Junior member
  • Aug 9, 2009
    35
    8
    8
    imhotep said:
    No .. that's not a mistake. This is a famous problem. That's why I didn't reply earlier not to spoil the fun. The Head worker does announce to everyone of them. This mechanism is termed as the state of "Common Knowledge"
    It means that there is a mathematical difference between all the members of a group knowing something, and all the members of the group knowing that everyone else also knows it. This is a key piece of logical information that allows these kind of problems are solved.

    Each blue haired guy knows that there are 99 others blue haired and 100 brown haired. But the chain of deduction process cannot begin until the "common knowledge" occurs - that's where the Head worker statement comes in to play.
    Click to expand...
    201 දෙනාගෙන් 100 කගෙ හිසකෙස් නිල් පාටයි. 100 කගෙ කහ පාටයි. ඉතුරු එකා වෙන ප්‍රධාන සේවකයගෙ ගේ හිසකෙස් කලු පාටයි. හැබැයි ෆැක්ටරියෙ කවුරුවත් ඔය කියල තියෙන සංයුති දත්ත දන්නේ නෑ. උන් දන්නෙ තම තමන්ට පේන දේවල් විතරයි. mekata anuwa gaththama kohomada kawruth sanyuthiya danne nethnam
     
    I

    imhotep

    Well-known member
  • Mar 29, 2017
    14,874
    8
    35,485
    113
    sameeabc said:
    201 දෙනාගෙන් 100 කගෙ හිසකෙස් නිල් පාටයි. 100 කගෙ කහ පාටයි. ඉතුරු එකා වෙන ප්‍රධාන සේවකයගෙ ගේ හිසකෙස් කලු පාටයි. හැබැයි ෆැක්ටරියෙ කවුරුවත් ඔය කියල තියෙන සංයුති දත්ත දන්නේ නෑ. උන් දන්නෙ තම තමන්ට පේන දේවල් විතරයි. mekata anuwa gaththama kohomada kawruth sanyuthiya danne nethnam
    Click to expand...

    Yes... It doesn't matter at all.
    Just say there's one person with blue hair and all other 199 had brown hair. He sees all others with brown hair and the boss with Green hair. Then he knows he has blue hair. Obvious. He leaves the next day.

    Now say that two people have blue hair and 198 with brown hair. The scenario now is - Each blue person would look around and see 198 brown people, and one other blur haired person.
    So they would think to themselves: "If that person is the only one with blue eyes, then they will leave tonight" But the next morning, the other blue person is still there. So now each blue person thinks - That blue haired guy didn't leave, therefore there's another blue haired guy here and that's me. So both of them will leave the second night.

    It's the extension of the same logic..................
     
    Top Bottom