If you have eight cubes with the faces colored consecutively light and dark colors what are the odds that th?

Question

faces facing outwards will be of the same color. If the the cubes are stacked verticaly, this assumes person is blind folded and cudes are randomized

sorry i meant four on bottom and four four in second tier

let's see if i can save this ,each each face a different color, the odds there

Answer 1

I am assuming you are talking about cubes with six sides.

I am still not sure if you are saying each cube cube has six different colors or two different colors.

Assuming six differnt colors:

The first cube does not matter. It simply determines which color the rest of the cubes must match.

For each cube after that, the odds that the color will match is 1 in 6: that makes the odds for all seven matchin 1 in 6 to the 7th power, or 1 in 279936 or, if you prefer, 279935 to 1.

Assuming you mean two different colors on each cube do the same calculculation but using "2" instead of "6" and you get 1 in 128, or 127 to 1.