You are locked in a dungeon. By the door are three boxes: one black, one white and one red. The boxes have the following sentences written on them: Black Red The key is not The key is in this box in the white box White The key is not in this box A sign next to the boxes reads: "Of the three statements at least one is true and at least one is false. If you are only allowed to open one box which one should you open? Explain.

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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You are locked in a dungeon. By the door are three boxes: one black, one white and one
red. The boxes have the following sentences written on them:
Black
Red
The key is not
in the white box
White
The key is not in
this box
The key is in
this box
A sign next to the boxes reads: "Of the three statements at least one is true and at least
one is false. If you are only allowed to open one box which one should you open?
Explain.
A math student invented a new method of making liquor, using
electromagnetics to distill alcohol.
Proof by induction.
Transcribed Image Text:You are locked in a dungeon. By the door are three boxes: one black, one white and one red. The boxes have the following sentences written on them: Black Red The key is not in the white box White The key is not in this box The key is in this box A sign next to the boxes reads: "Of the three statements at least one is true and at least one is false. If you are only allowed to open one box which one should you open? Explain. A math student invented a new method of making liquor, using electromagnetics to distill alcohol. Proof by induction.
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