Iterating over synchronized collection

I asked here a question about iterating over a Vector, and I have been answered with some good solutions. But I read about another simpler way to do it. I would like to know if it is good solution.

synchronized(mapItems) {
    Iterator<MapItem> iterator = mapItems.iterator();
    while(iterator.hasNext())
        iterator.next().draw(g);
}

mapItems is a synchronized collection: Vector. Is that make the iterating over the Vector safe from ConcurrentModificationException?