Is 'Good Luck & Bad Luck' same as 'Lucky and Unlucky' example:
I have a very bad luck as i always fall down & i am unlucky as i always fall down?
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Your example sentence is correct and makes correct use of both bad luck and unlucky
the events or circumstances that operate for or against an individual
having good luck
(Unlucky being the opposite of lucky)
Importantly, luck itself is a noun and can be either good or bad. That is, you can either have good luck (and therefore be lucky) or have bad luck (and be unlucky).
Note that, in general - if somebody is considered to have "a lot of luck", the implication is that they had a lot of good luck.