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"By any chance" is an adverb which is often translated as "por casualidad", and "by chance" is a phrase which is also often translated as "por casualidad". Learn more about the difference between "by any chance" and "by chance" below.
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by chance()
A phrase is a group of words commonly used together (e.g., once upon a time).
1. (general)
a. por casualidad
I saw your sister on the subway by chance.Me encontré por casualidad con tu hermana en el metro.
b. de casualidad (colloquial)
A word or phrase that is commonly used in conversational speech (e.g., skinny, grandma).
Did you know the party had been cancelled? - Yes. We found out by chance.¿Sabían que la fiesta se había cancelado? - Sí. Nos enteramos de casualidad.