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361概率简单数值题short

Random Number of Coin Flips via Tower Property

题目

A fair die is rolled to obtain DUniform{1,2,3,4,5,6}D \sim \operatorname{Uniform}\{1,2,3,4,5,6\}. Then DD independent fair coins are flipped and XX equals the total number of heads. Using the tower property, find E[X]E[X].

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