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Problem One: Cutting Cubes

You have a three inch by three inch cube whose outside surface is painted blue. If you cut the cube into smaller cubes each with 1 inch dimensions, and you throw the new smaller cubes onto a mat, what’s the probability that the top surface of every cube will be blue?

2 Responses to “Problem One: Cutting Cubes”

  1. on 15 Nov 2006 at 2:15 am mark

    given the condition (if i understood them correctly)you have to get all blue at the top of the cubes right.. ??!
    Zero probability..
    because in the middle of the cube, there will be a part
    that cannot be painted blue..
    0 divided by 6 faces of cube..
    will always be zero.
    so what every probability for the remaining 26 cubes..
    when you multiply them by zero, it will result to zero.

    Am i Right..?

  2. on 16 Nov 2006 at 8:24 pm Jason

    I agree with mark - 0 because of the center cube.

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