[tex]5+4=9 \leftarrow \text{marbles in total}[/tex]
[tex]\text{The probability of drawing a black marble is } \dfrac{5}{9}[/tex]
[tex]\text{The probability of spinning a 1 is } \dfrac{1}{3}[/tex]
[tex]\text{The probability of both is } \dfrac{5}{9}\cdot\dfrac{1}{3}=\dfrac{5}{27}[/tex]