Board Thread:General Discussion/@comment-26006155-20200107155350/@comment-26907577-20200205121452

$$P(A|B)=\frac{P(B|A)P(A)}{P(B)}$$

Aha! &lt;math>P(A|B)=\frac{P(B|A)P(A)}{P(B)}&lt;/math>

Anyway...

So, the probability of Event $$A$$ being the case, given that Event $$B$$ happened, is...
 * $$P$$ represents the probability of an event.
 * $$|$$ stands for "given".
 * $$A$$ and $$B$$ are events.
 * Directly correlated with the probability that Event $$B$$ would be observed if Event $$A$$ was already known to have happened. (That is, the more likely Event $$A$$ was to cause Event $$B$$, the more likely there is a correlation)
 * Directly correlated with the base probability for Event $$A$$ to happen, regardless of Event $$B$$ happening. (That is, the more likely Event $$A$$ is, the more likely it is once we include Event $$B$$)
 * Inversely correlated with the base probability for Event $$B$$ to happen, regardless of Event $$A$$ happening. (That is, the more likely Event $$B$$ was, the less likely it is that it affects the probability of Event $$A$$ given Event $$B$$)