Establecer la opción seleccionada predeterminada en forma seleccionada Laravel

<select class="form-control" name="category" id="category">

      @foreach($categories as $category)
           <option value="{{ $category->id }}" {{$product->catetory_id == $category->id ? 'selected' : '' }}>{{ $category->name }}</option>
      @endforeach
 </select>
NachooCh