Luck, this cannot be analyzed, whatever method you choose, this cannot be analyzed even with mathematics (IMO). Personally, I won't be able to say how luck works itself. Even in life outside of gambling, we often experience luck without knowing the exact time. It's the same as gambling, when you think a weak team can win a big team, and you bet on the weak team and it turns out to win, that is part of luck. Or, when you bet $0.2 to win $2,000, maybe you wouldn't think it was possible, that's also luck. Can you analyze the win? Of course it won't be possible.
Generally speaking, I think that luck comes from the coincidence of many different factors and is the result of this. Like, for example, a goalkeeper who slipped and our team scored a goal against him, or the wind blowing in the right direction. There are a lot of them, and the main thing is that we cannot take these factors into account. This is what luck is in my opinion, no mathematical calculations can influence it, except in a very minimal way.
Nah, there is NO mathematical explanation or equation to decipher how luck occurs IMO. Slot machines doesn't have a specific pattern or mathematical equation to increase your winning percentage as well as all the other pure luck based gambling games. In sports betting, being lucky is something associated with taking the higher risk with minimum bets. If you bet on an underdog, you'll only wish that the favorite team will struggle throughout the game or what they call an "off night". We've seen a lot of upsets in the NBA, so it's nothing new, but underdogs usually lost the game most of the time. So, being lucky is picking the right time where the favorite team will have an off night and the underdog wins against them.
Such example when a goal keeper slips and the underdog team made the goal, that is a good example of luck, because it is not very usual to see a professional athlete malfunction. Let's say out of 1000 attempts to defend the goal post, 1 of it will be an unexpected error.