Both Uses

coincidence
in
Flags of Our Fathers
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A tissue of their former lives connected many of the onrushing warriors: ironies, coincidences of place and memory, overlapping fragments of their boyhoods.†
Chpt 7. *

coincidences = situations where things happened at the same time by chance even though they were unlikely
Pieced together decades later, these facts strike me as more than coincidence.†
Chpt 19.

coincidence = a situation where things happened at the same time by chance even though it was unlikely

Definitions:

(1) (coincidence)
a situation where two things happened at the same time or in the same way by chance even though it was unlikely
(2) (meaning too rare to warrant focus)
Much more rarely coincidence can refer to things coinciding (occurring or operating at the same place or time). For example:
- the coincidence of a target and cross hairs
- the coincidence of entangled particles in quantum physics