The day before I had my first, the midwife checked me and said 'yeah I think it might be awhile yet'. I felt fine, had had NO niggles that I noticed (and you'd think I'd have noticed since I was watching for them), and said to my birth support partner that I thought I'd go a week over.
I went into labour at 2:30 the next morning.

So....you never know, but your body can generally be trusted with its timing, and while it's often simpler for an ob to induce so they can keep tabs on things, it's not necessarily the most fun for you.
Just don't forget you do have a choice, it's your body.