All 4 Uses

coincidence
in
The Miserable Mill
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"It must be a coincidence," Violet said, after a long pause.†
p. 13.4

coincidence = a situation where things happened at the same time by chance even though it was unlikely
"Of course," Klaus said nervously, "a coincidence."†
p. 13.5
Try as they might, they just couldn't believe it was a coincidence that the town in which they were to live had a building that looked just like the tattoo of Count Olaf.†
p. 14.8 *
"Those things could just be coincidence," Violet admitted.†
p. 68.7

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