Probability and Two-Way Tables Answers

Find P(B|C).

Out of 106 total sophomores, there were forty-eight boys who received either an A, B, or C on their first math test. Out of the twenty-eight total A’s, sixteen girls received A’s. Out of the total fifty-four B’s, thirty girls received B’s. Twelve boys received a C out of the twenty-four total C’s on the test. Which two-way table represents this information?

What is the probability that a randomly selected person who tested positive for the flu is vaccinated?

The two-way table shows the results of a recent study on the effectiveness of the flu vaccine. Let N be the event that a person tested negative for the flu, and let V be the event that the person was vaccinated.