Stardew Valley, Balatro, Kingdom Come: Deliverance or Medieval Dynasty.

Back and forth… Back and forth… I’m beginning to feel like Sisyphus!

Ignoring the obvious flaw of throwing out the importance of infinity here, they would be exceedingly unlikely but technically not unable. A random occurrence is just as likely to happen on try number 1 as it is on try number 10 billion. It doesn’t become any more or less likely as iterations occur. This is an all too common failure of understanding how probabilities work.