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28 December, 11:13

A 3x4x5 rectangular cuboid (e. g. a brick) is painted blue and cut into 1x1 cubes. what is the expected value for the painted sides of a randomly selected cube?

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  1. 28 December, 11:21
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    8 cubes are painted on 3 sides

    24 cubes are painted on 2 sides

    22 cubes are painted on 1 sides

    6 cubes are painted on 0 side

    E = 3 * 8/60 + 2 * 24/60 + 1 * 22/60 + 0 * 6/60 = 47/30 = 1.567
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