Directions: Complete all questions. To receive full credit. you at show all your work. 1. Maria has eight black marbles. fourteen clear marbles. and twelve blue marbles in a bag. if she picks two marbles at random. without replacement. what is the probability that she will select a blue marble rst. then a clear marble? 2. At a local restaurant, 55% of people order an appetizer to start while 25% order a salad to start. Also, 18% choose both an appetizer and a salad to start. What percentage of people order a salad or an appetizer to start? 3. The table below shows the gender and amount of time each person surveyed exercises each day. , ,7 _ 7' Male Exercise for at least ' 82 thirty minutes _ Do notexercise . What is the approximate probability that a person will be a female and exercise for at least thirty minutes each day? 4. A study was done about people that watch the Superbowl and World Series. Are gender and watching the World Series Independent? 5. The volleyball team has a double-header on F n'day' The probability that they W1\" win both games is 38%. The probability that they mull win just the rst game is 70%. What is the probability that the team will win the second game given that they have already won the rst game