luck is a type of coincidence, only that it had positive outcome to a person
bad luck on the other hand is still coincidence but with bad outcome
coincidence is a combination of an outcome and precursor events which are very difficult to connect
in a coincidence, we control the precursor events (things done to achieve something) but we have no control over the outcome just like throwing a dice
science does not tolerate coincidence, it required the results be reproduce-able and not just a one time big time luck
bible also does not tolerate luck since it is promoting a wired fate (book of life) and hates randomness