Anyone think they will be *gasp* late?

Hi girlies. I will be 38 weeks Thursday!!! I feel totally fine, if not even good! I just don't see this baby coming anytime soon. Last week at 37 weeks, Dr says "cervix, maybe a fingertip. Not much at all." So in my head now I still have 2-3 weeks. I think they induce you a week after your due date? 41 weeks is the cutoff right? Or do you kind of get to call the shots when you reach your due date? My DD is June 3rd. Just don't see him coming before then! Anyone else...?