The chances of you having a failed induction with such a low Bishops score is quite high, I'm afraid. The higher your score is to 10 the better you will go.

You are given points on cervix position, the consistancy of your cervix, effacement, dilation and babies station.

If I were you personally, I would hold out hun. And your Dr is telling you BS. The Bishops score still matters if you are overdue.

Goodluck and stand strong.