My 5 pekin hens lay about 4 eggs a day on average. Today all of them laid! But they have absolutely NO desire to go broody. They have been laying since September. If I want ducks to hatch I'm planning on getting another breed of duck in the Spring that is more likely to go broody.
BTW, I collect eggs at least twice a day. If I don't they walk all over them with their poopy feet. Sometimes one of our chickens will sit on the duck eggs for a little while but I just lift the hens off to pick up the eggs underneath them.