38 weeks. Lost mucus plug. Induction easier?

Manny

I'm 38 + 5 today. Woke up this morning and found bloody snot when I wiped. Pretty sure it's my mucus plug. I'm being induced in 2 days. On Thursday. Do you think losing my mucus plug will make my induction easier? This is my 3rd baby. With my 2nd I was induced. Labor only lasted 3 hours if that. I'm hoping for the same. I've also been cramping all day.