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(3 points) Happy bear pairs Consider a collection of 6 bears. There is a pair of red bears consisting of one father bear and one

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(3 points) Happy bear pairs Consider a collection of 6 bears. There is a pair of red bears consisting of one father bear and one mother bear. There is a similar green bear pair, and a similar blue bear pair. These 6 bears are all placed in a straight line, and all arrangements in such a line are equally likely. A bear pair is happy if it is sitting together. Let X denote the number of happy bear pairs. Find E[X]

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