Coloured Cube
Probability puzzles require you to weigh all the possibilities and pick the most likely outcome.
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?
HintVisualize the core of the cube.
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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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Comments
jimbo
Apr 23, 2003
 Great teaser but it should be in the trick section. I would have spent less time calculating and more time thinking about the obvious if you had hinted it was a trick. 
Bobbrt
Apr 24, 2003
 I was going to put this in the "trick" category, but then I came to the conclusion that there is really no trick at all. If you calculate the odds of each block showing red, you will get to one block that has odds of 0 in 6. Pretty straightforward. Good teaser, though. 
rhiababe
Apr 24, 2003
 I thought that teaser was brill! It was one of those where you go, Ohh, that why! Anyone agree? 
JOUBERT660
May 26, 2003
 WEIRED 
puzzled_puzzler
May 31, 2003
 I agree with Jimbo. While a cunning teaser, it should be in the trick section. 
cccc
Jul 16, 2003
 I didn't notice ' all the tops'. 
taniapereira99
Jul 29, 2003
 it is somewhat of a trick, but if in the trick section it would be way too obvious... I liked this one a lot! I was going through all the calculations as well and when I pulled up the answer I realized I had forgotten the centre cube!! Good teaser! 
jacintan
Aug 26, 2003
 I think I'm going mad! I love it but I don't get it. 
zowerskii
Dec 21, 2003
 i wouldnt have gotten it w/o the hint 
cnmne
Jan 11, 2004
 The described cube is a Rubik's Cube with only one color. Rubik's cube is cut into 3x3x3, or 27 smaller cubes. Only 26 of these cubes are exposed. The 27th cube is in the center of the Rubik's cube and has no color. 
Fhqwhgads
Feb 06, 2004
 defietely a trick but i liked it any way. i had some crazy answer like 29 to 1 or something. lol 
ghost09
Apr 07, 2004
 AWESOME teaser.
If it was to be posted in the trick sections it would be to obvius.
This is great! 
calmsavior
Nov 19, 2006
 whoops ... forgot about the center cube 
opqpop
Sep 24, 2010
 Way too easy. Got it instantly. 
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