Braingle: 'Coloured Cube' Brain Teaser

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?

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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.