We don't have any synonyms for by a fluke yet.
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Definition of by a fluke:
°A
lucky or
improbable occurrence, with the implication that the occurrence could not be repeated.
"The first goal was just a fluke."
"The dolphin had an open wound on the left fluke of its tail where the propeller had injured it."
°(snooker) To obtain a successful outcome by pure chance from a bad shot.
"He fluked the other red into the middle pocket, despite the double kiss."