Usage Note
Casualidad expresses an unplanned coincidence: ¡qué casualidad! ('what a coincidence!'). Por casualidad means 'by chance' or 'as it happens', and is used in polite questions: ¿tienes, por casualidad, un bolígrafo? ('do you happen to have a pen?'). Do not confuse with causalidad ('causality'), which differs only in a single vowel.
Examples
"Nos encontramos por pura casualidad."
Natural Translation
We met by pure coincidence.

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