1. A combination lock has 4 wheels, each labeled with the 10 digits from 0 to 9. How many 4 digit opening combinations are possible if no digit is repeated? 2. If the probability of winning a game is 0.42 and there can be no ties, what is the probability of losing the game? 3. A company's CEO has 12 people reporting directly to her, and she wants to select 3 to attend the grand opening of a new retail store. How many possible ways are there of selecting 3 people to attend? 4. In the middle of the 2012 season a sports website calculated that the 1 probability of the Phoenix Suns winning the 2012 NBA Championship was 101 What were the odds of the Phoenix Suns winning the 2012 NBA Championship? 5. A card is randomly drawn from a standard deck of 52 cards. Find the probability that the card is a jack, given that it is black. 6. A club consists of six men and four women. Three people from the club are to be selected for a conference. Find the probability that a group consists of one man and two women. 7. A bag contains 4 yellow balls and 6 green balls. Two balls are drawn without replacement. Wat is the probability that the second ball is yellow given that the first ball is green? 8. A bag contains 6 red jelly beans and 4 black jelly beans. Two jelly beans are drawn at random from the bag one after another. (a) If the first jelly bean is replaced in the bag before the second one is drawn, find the probability that both jelly beans are red. (b) If the first jelly bean is not replaced in the bag before the second one is drawn, find the probability that both jelly beans are red. 9. A mathematics class consists of 16 engineering majors, 12 science majors, and 4 liberal arts majors. (a) What is the probability that a student selected at random will be a science or engineering major? (b) Five of the engineering students, 6 of the science majors, and 2 of the liberal arts majors are female. What is the probability that a student selected at random is an engineering major or a female? 10. A sample of 5 fuses is drawn from a lot containing 12 good fuses and 3 defective fuses. Find the probability that: (a) (4 points) all of the fuses are good (b) (4 points) at least 1 fuse is defective