Do you believe "Coincidence" & "Fate" share the same definition?

I Believe, Coincidence is Fate. Why is it that we have coincidences? is it because fate had a change of plans? or is it because it is simply fate?

Googles Definition of Fate: an event (or a course of events) that will inevitably happen in the future.

Googles Definition of Coincidence: an event that might have been arranged although it was really accidental.