Labor!

Okay so for the last 3 nights i’ve had contractions, mostly in my back/uterus. They haven’t been unbearable so i just go to sleep, hoping i’ll wake up in actual labor. Well around 11-12 today i had my bloody show, (i lost my mucus plug yesterday and some more today) but i’m wondering how long after your bloody show you went into labor? i’m 39w 6d but i’m scheduled to be induced tomorrow night at 9. I’m hoping i go into labor on my own, but what’s my chances of that happening?