Let \(A\) be the set of outcomes in which Alberto gets more than 4 cookies. Let \(B\) be the set of outcomes in which Bernadette gets more than 4 cookies. Let \(C\) be the set of outcomes in which Carlos gets more than 4 cookies. We then are looking (for the sake of subtraction) for the size of the set \(A \cup B \cup C\text{.}\) Using PIE, we must find the sizes of \(|A|\text{,}\) \(|B|\text{,}\) \(|C|\text{,}\) \(|A\cap B|\) and so on. Here is what we find.
in-context