1. Suppose you are taking a multiple choice test with c choices for each question. In answering a question on this test. The probability that you know the answer is p. If you don’t know the answer, you choose one at random. What is the probability that you knew the answer to a question, given that you answered it correctly?

2. There are six men and seven women in a ballroom dancing class. If four men and four women are chosen and paired off, how many pairings are possible?

3. A statistics course has seven and three female students. The professor wants to select two students at random to help her conduct a research project. What is the probability that the two students chosen are female?

4. A restaurant offers 5 choices of appetizer, 10 choices of main meal and 4 choices of dessert. A customer can choose to eat just one course or two different courses or all three courses.Assuming all courses (that is appetizer, main meal or dessert) are available, how many possible meals does the restaurant offer?

5. You are a trainee at a club interchangeably handled by two coaches Scott and David. The probability of you being a trainee when Scott is coach is 0.5. If David is coach, the probability is 0.3. Scott has a higher probability of being the coach based on past trainings with a probability of 0.6 being the coach of today’s training. So what is the probability of you being the trainee at today’s training?