How do I draw the selected list-box item in a different color?

I saw, Style property has to be lbOwnerDrawFixed

try this:

procedure TForm1.ListBox1DrawItem(Control: TWinControl; Index: Integer;
  Rect: TRect; State: TOwnerDrawState);
begin
  with (Control as TListBox).Canvas do
  begin
    if odSelected in State then
      Brush.Color := $00FFD2A6;

    FillRect(Rect);
    TextOut(Rect.Left, Rect.Top, (Control as TListBox).Items[Index]);
    if odFocused In State then begin
      Brush.Color := ListBox1.Color;
      DrawFocusRect(Rect);
    end;
  end;
end;