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A nasty logic teacher tells the students the following: during the next class ev

ID: 3004171 • Letter: A

Question

A nasty logic teacher tells the students the following: during the next class everyone will line up facing the front of the line, and the teacher will place a hat on each student’s head. The hats are either red or white and each student can only see the hats of the students in front of them, not their own or the ones behind. Starting at the back of the line the teacher asks the students one by one “What is the colour of your hat? If the answer is correct the teacher says so and the student gets an A in the course. If the answer is wrong, the teacher says “Wrong, you fail.” All students hear all the answers and whether they are right or wrong.

Explanation / Answer

chances may be a fifty-fifty.

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