Mine were both different too, but I voted for induced.

First - induced at 13 days "over" with one lot of gels, kicked off mild contractions, 12 hours later waters broke, resisted drip, had great upright drug free birth.

Second - 15 days over, had a S&S (so still induced, really) then contractions started 12 hours later. Waters didn't go until first push of five - one for the waters, three for the head, one for the body.