Question

ity and two-way tables
selecting a person who tested positive for the flu, given he or she was
vaccinated.

Explanation:

Step1: Recall conditional probability formula

The formula for conditional probability is \(P(A|B)=\frac{P(A\cap B)}{P(B)}\). In the context of two - way tables, if \(A\) is the event of testing positive and \(B\) is the event of being vaccinated, then \(P(A|B)=\frac{\text{Number of vaccinated and positive}}{\text{Total number of vaccinated}}\)

Step2: Identify values from the table

From the table, the number of vaccinated and positive is \(405\), and the total number of vaccinated is \(1236\)

Answer:

\(\frac{405}{1236}\)