So in other words, if the sequence of probabilities favours a person, we can say he is lucky?
I ask because, these sequence of probabilities you talk about is completely out of our control. You and I do not get to decide when and how it occurs. Sometimes, it's in our favour, other times, it's not.
LUCK can be defined as "something that happens to someone by chance, a chance occurrence, especially a favourable one"
So you may call it distribution of probabilities, another person may call it luck, but in the end, you are all talking about the same thing.
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yes it is out of our control
what we can manage (and not control) is our response to any possible sequence of possible probability. this is how sciences like finance and economy figured. money management for example.
in large numbers, in the end, the chance would be same for almost everyone.
if it's considered really large number, I believe the chance is equal for everyone (not almost!)
Chance is a matter of science. but luck is a fictional phenomena our minds made up. it was easier to explain luck rather than chance and distribution of probabilities to our ancestors, so they preferred to believe that.
these are mostly my thoughts, not facts :)