The Probablity is calculated as
[tex]P(b)=\frac{b}{\text{total}}[/tex]Here P(b) is the probablity of black marble and b is the number of black marbles. So
[tex]P(b)=\frac{6}{6+8}=\frac{6}{14}=\frac{3}{7}[/tex]So out of the seven balls drawn, three will be black.