[tex]\frac{1}{1}-\ all\ participants\\\\
\frac{1}{4}-\ participants\ with\ red\ hair\\\\ \frac{1}{6}-\ participants\ with\ brown\ hair\\\\
participants\ ith\ black\ hair=1-\frac{1}{4}-\frac{1}{6}\ \ \ | mu;tiply\ by\ 12\\\\
12participants\ ith\ black\ hair=12-3-2\\\\
12participants\ ith\ black\ hair=7\ \ \ \ | divide\ by\ 12\\\\
participants\ ith\ black\ hair=\frac{7}{12}[/tex]