What does it mean when you have P(A|C)
In probability theory, P(A|C) represents the conditional probability of event A given that event C has occurred. This probability is calculated as the ratio of the probability of the intersection of events A and C (P(A ∩ C)) to the probability of event C (P(C)).
To calculate P(A|C), you would follow these steps:
1. Identify the probability of event C (P(C)).
2. Determine the probability of the intersection of events A and C (P(A ∩ C)).
3. Divide P(A ∩ C) by P(C) to find P(A|C).
It is important to note that P(A|C) is only defined when P(C) is nonzero (i.e., the event C has a non-zero probability of occurring). Otherwise, the conditional probability is undefined.