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Coloured Cube

Probability puzzles require you to weigh all the possibilities and pick the most likely outcome.

 

Puzzle ID:#11805
Fun:*** (2.63)
Difficulty:** (1.66)
Category:Probability
Submitted By:abhijitkadam**
Corrected By:MarcM1098

 

 

 



A 3 inch cube is painted on all sides with RED. The cube is then cut into small cubes of dimension 1 inch. All the so cut cubes are collected and thrown on a flat surface. What is the probability that all the top facing surfaces have RED paint on them?



Answer

ZERO.

The core of the 3 inch cube when cut, has all faces that are not painted. Hence at least one cube with no painted face always occurs.

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