Question

fill in the blank with an appropriate word or phrase. the probability of event ( e_{2} ) occurring, given that event ( e_{1} ) has happened is called a(n) ______ probability. the probability of event ( e_{2} ) occurring, given that event ( e_{1} ) has happened is called a(n) probability.

Explanation:

Conditional probability is defined as the probability of an event \(E_2\) occurring given that another event \(E_1\) has already occurred. It is calculated using the formula \(P(E_2|E_1)=\frac{P(E_1\cap E_2)}{P(E_1)}\) (where \(P(E_1)> 0\)). The key here is the "given that" part of the problem statement, which is the hallmark of conditional probability.

Answer:

conditional