Gambler's fallacy says the amount of luck should remain constant

The optimist's gambler's fallacy says luck is a constant attribute of an individual, and if someone gets lucky they are more likely to have a high luck stat and thus be more lucky in the future. The pessimist's gambler's fallacy says luck is a consumable resource, and if someone gets lucky they consume their luck and are thus less likely to be lucky in the future.

I have to acknowledge that I did not fully understand the lottery-ticket-buying trope until now.