An applicant has applied for positions at Company A and Company B. The probability of getting an offer from Company A is .4, and the probability of getting an offer from Company B is .3. Assuming that the two job offers are independent of each other, what is the probability that the applicant will not be given an offer from either company?

The probability that a person has a certain disease is 0.05. Medical diagnostic tests are available to determine whether the person actually has the disease. If the disease is actually present, the probability that the medical diagnostic test will give a positive result (indicating that the disease is present) is 0.92. If the disease is not actually present, the probability of a positive test result (indicating that the disease is present) is 0.04. a. If the medical diagnostic test has given a positive result (indicating that the disease is present), what is the probability that the disease is actually present? b. If the medical diagnostic test has given a negative result (indicating that the disease is not present), what is the probability that the disease is not present?

The probability that I park my car in a garage on Monday is .3. The probability that I park my car in a garage onTuesday is .25. If parking my car in a garage on Tuesday is independent of my parking my car in a garage onMonday, what is the probability that I neither park my car in a garage on Monday nor on Tuesday?

Jay-Z has applied to both The School of Hard Knocks and The University of OG's. He thinks the probability that The School of Hard Knocks will admit him is 0.4, the probability that The University of OG's will admit him is 0.5, and the probability that both will admit him is 0.2. Creating a Venn Diagram is Helpful. What is the probability that Jay-Z gets into The School of Hard Knocks but not The University of OGʻs?