When I was in the high school learning about AP statistics I learned the formula:
$$ P(A|B)=\frac{P(A\cap B)}{P(B)} , P(B|A)=\frac{P(A\cap B)}{P(A)}$$
$$ P(A\cap B)=P(A)\cdot P(B|A)=P(B)\cdot P(A|B) $$
$P(A|B)$ is called “Conditional probability” which pretty much self-explained itself. For which I only knew the meaning of each element but not the whole idea, what I do is just plug in numbers, because it is kinda abstract to understand from itself: “The probability of event $A$ happens given event $B$ happened = The probability of events $A and B$ happens divided by the probability of event $B$ happens”