Sampling Distributions · Superchallenge problem

A population consists of the three numbers $1$, $3$, $8$. A sample of size $2$ is drawn WITH replacement (all $9$ ordered samples equally likely). For each sample, compute the variance with divisor $n$: $\dfrac{(x_1-\bar x)^2 + (x_2-\bar x)^2}{2}$. What is the mean of this quantity over the sampling distribution? Express your answer as a common fraction.