A random experiment consists of simultaneously flipping three coins. (1) What is the corresponding sample space? (2)

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A random experiment consists of simultaneously flipping three coins.

(1) What is the corresponding sample space?

(2) Give the following events in terms of elementary events:

\(A=\) 'head appears at least two times,' \(B=\) 'head appears not more than once,' and \(C=\) 'no head appears.'

(3) Characterize verbally the complementary events of \(A, B\), and \(C\).

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