## Elementary Statistics (12th Edition)

Let A and B be the 2 subjects. Then we have 4 possibilitites: both of them were true positive, bothe of them were true positive, A was true positive, B was true negative and B was true positive, A was true negative .Here the events are dependent, because the sampling was done without replacement. Hence summing the probabilities of the possible cases: $\frac{199}{300} \cdot \frac{118}{299}+\frac{154}{300} \cdot \frac{153}{299}+\frac{154}{300} \cdot \frac{119}{299}+\frac{119}{300} \cdot \frac{154}{299}=0.933.$ Hence it is not unlikely.