[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]
Total number of white buttons :
Total number of buttons in Total :
Total non - white buttons :
So, probability of randomly selecting 1 button that isn't white is ~
[tex]\qquad \sf \dashrightarrow \: p = \dfrac{ non \: white \: }{total} [/tex]
[tex]\qquad \sf \dashrightarrow \: p = \dfrac{8}{18} [/tex]
Or
[tex]\qquad \sf \dashrightarrow \: p = \dfrac{ 4 }{9} [/tex]