What? Bayes' theorem does not require anything about the events, even more so it is useful when the events are not independent. If events are independent, Bayes' theorem has no usefulness. https://en.wikipedia.org/wiki/Bayes%27_theorem#Statement_of_...

Edit: however now that I look into it, I should rather have used "conditional probabilities" name rather than Bayes'. I always mix both of them, my bad.