Final answer:
The conditional probability P(A|B) is calculated using the formula P(A|B) = P(A AND B) / P(B); plugging in the given values, we find P(A|B) to be 2/3.
Step-by-step explanation:
The student is asking for the calculation of the conditional probability P(A|B), which is the probability of event A occurring given that event B has already occurred. According to the formula for conditional probability, P(A|B) = P(A AND B) / P(B). Using the provided values, P(A AND B) = 2/9 and P(B) = 1/3, we can calculate P(A|B) as follows:
P(A|B) = P(A AND B) / P(B) = (2/9) / (1/3) = 2/3.
Therefore, the conditional probability of A given B, P(A|B), is 2/3.