This is a binomial distribution with an underlying $p=\dfrac{9}{15}=\dfrac 3 5$

$Pr[X=k]=\left(\begin{array}{r} 4 \\ k \end{array}\right) p^k(1-p)^{4-k}$

with $p$ as above

$Pr\{X\} = \dfrac 1 {625} \{ 16, 96, 216, 216, 81\} = \{ 0.0256, 0.1536, 0.3456, 0.3456, 0.1296\}$

you can figure out $E[X]$ and $var[X]$ given this.