A little girl randomly arranges 30 bears-consisting of 10 red bears, 10 yellow bears, and 10 blue

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A little girl randomly arranges 30 bears-consisting of 10 red bears, 10 yellow bears, and 10 blue bears-into 10 bowls of 3 bears [each. (All outcomes are equally likely.)
Let X denotes the number of bowls that have at least one blue bear in the bowl. (The little girl loves blue bears.) Find the expected value of X.
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Introduction to Probability

ISBN: 978-0716771098

1st edition

Authors: Mark Daniel Ward, Ellen Gundlach

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