what's the difference between possibly and probably?

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Answer

Adverbs. They basically refer to the same (synonyms) but, probably refers to an action that most likely will occur and possibly refers to an action that has a chance to happen.

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Possibly: might happen, maybe 50% chance it will or it won't.
Probably: most likely happen, more than 50% chance it will happen.

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(lots of dark clouds in the sky) It will PROBABLY rain today.
(a dark cloud in the distance) There's a small chance it will rain. Maybe. POSSIBLY it will rain.