In a way that happens by good fortune or chance; fortunately or by good luck.
From the adjective 'lucky,' which comes from Middle Dutch 'lucke' or Old Germanic roots, combined with the adverbial suffix '-ly.' The original meaning was simply 'happening by chance.'
The word 'luckily' reveals how humans crave explanations for random events—we invented this word to describe moments where chance favors us, even though luck itself isn't a real force. It shows how our brains seek patterns and meaning even in pure randomness.
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