Luck is the phenomenon and belief that defines the experience of notably positive, negative, or improbable events. The naturalistic interpretation is that positive and negative events may happen all the time, both due to random and non-random natural and artificial processes, and that even improbable events can happen by random chance. In this view, the epithet "lucky" or "unlucky" is a descriptive label that refers to an event's positivity, negativity, or improbability.
Supernatural interpretations of luck consider it to be an attribute of a person or object, or the result of a favorable or unfavorable view of a deity upon a person. These interpretations often prescribe how luckiness or unluckiness can be obtained, such as by carrying a lucky charm or offering sacrifices or prayers to a deity. Saying someone is "born lucky" then might mean, depending on the interpretation, anything from that they have been born into a good family or circumstance, or that they habitually experience improbably positive events due to some inherent property or the lifelong favor of a god or goddess in a monotheistic or polytheistic religion.
Here is what I'm thinking, and it has to do with the Gambler's Fallacy and Law of Large Number. The Gambler's Fallacy states that due to the probability of an event is statistically independent and has no memory of previous outcome, regardless how unlikely the previous outcome has been. I saw some of the explanations for Gambler's Fallacy are that it's due to small sample size. But my understanding is that it has nothing to do with sample size. If a gambler were to bet on the toss of a fair coin, his chance would be 50/50, regardless if the previous result was a streak of 20 tails, or 200 tails, or 20^20 tails, however unlikely such event might be.
To expound on this idea further, picture a cosmic gambler who has been tossing a fair coin since the beginning of the universe, and who has been getting tails all these time. His chance of getting a head instead of tail is still 50/50. Which means, he could been getting tails until the end of the universe. Because to state otherwise would be violating the Gambler's Fallacy.
However, this would be an apparent violation of the Law of Large Number, which states the average of the results from a large sample should be close to the expected value. In other words, for our cosmic gambler, for all his coin tosses, the ratio of head and tails should be exactly 50/50 by now(13 some billions years).