3. (18 pts) Suppose that you are dealt 5 cards from a well shuffled standard deck of cards. What is the probability that you receive a hand with exactly two suits? 4. (20 pts) Consider a routine screening test for a disease, Suppose the frequency of the disease in the population is 0.5%. The test is highly accurate with a 5% false positive rate (le. the test indicates presence of the disease when the disease is not present 5% of the time) and a 10% false negative rate (Le, the test indicates that the disease is not present when the disease is present 10% of the time). If Alice takes the test and it comes back positive, what is the probability that Alice has the disease? You should simplify your