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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:** (1.64)
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?



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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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.
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.
Apr 24, 2003

I thought that teaser was brill! It was one of those where you go, Ohh, that why! Anyone agree?
May 26, 2003

May 31, 2003

I agree with Jimbo. While a cunning teaser, it should be in the trick section.
Jul 16, 2003

I didn't notice ' all the tops'.
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!
Aug 26, 2003

I think I'm going mad! I love it but I don't get it.
Dec 21, 2003

i wouldnt have gotten it w/o the hint
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.
Feb 06, 2004

defietely a trick but i liked it any way. i had some crazy answer like 29 to 1 or something. lol
Apr 07, 2004

AWESOME teaser.

If it was to be posted in the trick sections it would be to obvius.

This is great!
Nov 19, 2006

whoops ... forgot about the center cube
Sep 24, 2010

Way too easy. Got it instantly.
Apr 23, 2015

What are we YELLING for?

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