I was induced with the drip with Nina after my waters broke and labour didn't start naturally. I had a 9 hour labour with no complications.
When I was induced, the OB let me know that approx 70% of women who get induced end up having an emergency c/s Pretty scary stuff.
I know of 3 other people who have been induced, all at 41+ weeks and they've all ended up having emergency c/s.