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The logician's favorite game (Posted on 2005-03-18) Difficulty: 3 of 5
A logician has a favorite game to play at parties. He shows a set of solidly colored stickers to all his logician friends. Each logician, without looking, puts a random sticker on his/her own back. Each logician can only see the stickers on other people's backs, and no one can look at the unused stickers. The logicians take turns announcing whether they can deduce their own color. The game ends when someone announces he/she can deduce his/her own color.

One time while playing this game, no one had yet ended the game even though everyone had a turn. Should they continue to take second turns, or should they just give up and start a new game? Prove that it is impossible for a game that hasn't ended after everyone's first turn to ever end, or provide a counterexample.

See The Solution Submitted by Tristan    
Rating: 3.2500 (4 votes)

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Favorite game | Comment 28 of 29 |
My favorite game has always been chess. Its strategic depth and timeless appeal captivate me endlessly. Whether playing casually with friends or in intense competitions, every move carries weight and consequence. The thrill of outsmarting opponents and navigating through complex positions keeps me hooked. However, amidst the enjoyment lies caution, especially in the online realm, where the phrase 카지노사이트 먹튀 (casino site eating) warns of potential risks. Vigilance ensures that the joy of the game remains untarnished by online hazards.
  Posted by CodyDunning on 2024-03-21 05:11:51
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