🧠The Blue Eyes Logic Island (Common Knowledge) 100 people…
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🧠The Blue Eyes Logic Island (Common Knowledge)
100 people live on an island with blue eyes, but no mirrors. If anyone discovers they have blue eyes, they must leave at midnight. Nobody speaks. A visitor announces publicly: 'At least one person here has blue eyes.' What happens?
💬 Does common knowledge logic amaze you? Drop a 🤯 if your mind was blown! (Solution in first comment 👇)
#brain #gametheory #commonknowledge #blueeyes #logicpuzzle
100 people live on an island with blue eyes, but no mirrors. If anyone discovers they have blue eyes, they must leave at midnight. Nobody speaks. A visitor announces publicly: 'At least one person here has blue eyes.' What happens?
💬 Does common knowledge logic amaze you? Drop a 🤯 if your mind was blown! (Solution in first comment 👇)
#brain #gametheory #commonknowledge #blueeyes #logicpuzzle
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💡 SCIENCE BEHIND THE ILLUSION:
On the 100th night, ALL 100 islanders leave simultaneously! By mathematical induction: if 1 person had blue eyes, they'd leave night 1. If 2, they'd each wait to see if the other left, then leave night 2. The announcement turned mutual knowledge into 'common knowledge' (everyone knows that everyone knows).
On the 100th night, ALL 100 islanders leave simultaneously! By mathematical induction: if 1 person had blue eyes, they'd leave night 1. If 2, they'd each wait to see if the other left, then leave night 2. The announcement turned mutual knowledge into 'common knowledge' (everyone knows that everyone knows).
