Chances of a successful induction for me?

I am 41 weeks prego and supposed to be getting induced tomorrow or the day after. I was just checked yesterday and was told I have dilated to almost 2cm, 80% effaced and baby's head is at 0 station. My bishop score is an 8 they said. I'm just curious whether the odds are really in my favor or not. I'm really hoping I won't be in for a 36 hour labor, and am really keeping my fingers crossed that all will go smoothly and quickly. What do you ladies think? I know everyone's body is different, but based on the facts I have provided just how good are my chances of a successful induction?