Probability: Associativity of symbols in Conditional Probabiltiy

Question

I have been reading various topics on Probability and some conditional probability are denoted like this:

$P(A | B \cap C)$

Now does this represent:

$P(A | (B \cap C))$

or

$P((A|B) \cap C)$

Answer 1

There is no choice because P((A|B)∩C) is absurd (recall that (A|B) is not an event, in fact (A|B) does not exist) hence P(A|B∩C) can only mean $____$.