(3) Three people, A, B, and C, are playing the "Rock, Paper, Scissors" game. In each round, A, B, and C simultaneously show one of the gestures: "Rock," "Paper," or "Scissors," and they do so independently. Let $\xi$ be the number of people A wins against in one round. Then the expected value $E \xi$ of the random variable $\xi$ is ( ).
(A) $\frac{1}{3}$
(B) $\frac{4}{9}$
(C) $\frac{2}{3}$
(D) 1
(3 $\mathrm{C}$ hint:
$$
\begin{array}{c}
P(\xi=0)=\frac{3 \times 4}{27}=\frac{4}{9}, \\
P(\xi=1)=\frac{3 \times 4}{27}=\frac{4}{9}, \\
P(\xi=2)=\frac{3 \times 1}{27}=\frac{1}{9},
\end{array}
$$

Therefore
$$
E \xi=\frac{4}{9} \times 0+\frac{4}{9} \times 1+\frac{1}{9} \times 2=\frac{2}{3} .
$$