Answer
$\frac{25}{18}$
Work Step by Step
We know that the variance of the number of success in Bernoulli trails is given as $npq$. As we have $6$ on the dice with the probability $p=\frac{1}{6}$, thus $q=1-\frac{1}{6}=\frac{5}{6}$ and we throw the dice 10 times, so the required variance calculated as $npq=10\times \frac{1}{6}\times \frac{5}{6}=\frac{25}{18}$