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15 Jul 2006, 00:19
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A large cube 10 cm on a side is composed of cubes 1 cm on a side. The outside of the large cube is painted red and then all of the individual cubes are mixed in a drum. If two cube is selected randomly what is the probability that first cube has exactly one red face and second has exactly two red faces?
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15 Jul 2006, 01:58
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We have 10x10x10 large cube that consisits of 1000 1x1x1 small cubes.
we have 488 painted cubes. 8 have 3 red sides, 6*64=384 have one red side and 12x8=96 have 2 red sides.
Required prob is (384/1000)*(96/1000)
we have 488 painted cubes. 8 have 3 red sides, 6*64=384 have one red side and 12x8=96 have 2 red sides.
Required prob is (384/1000)*(96/1000)
15 Jul 2006, 02:06
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You did everything right except bold part
(384/1000)*(96/999)
