Find the following probabilities: Q21: p(PF) Q22: p(C and NCE) Q23: P(CE) Q24: P(SF/CE) Q25: p(not SG) Q26: P(CE/PF) The following 3 questions (Q27 to (29) are based on the following information: You have a kennel that contains all Labrador Retrievers. The kennel has 6 black labs, 3 yellow labs, and 1 chocolate lab. Find the following probabilities: Q27: What's the probability that you randomly select a black lab, don't put the lab back, then draw another black lab, don't put the lab back, and then draw another black lab? Q28: What's the probability that you draw a yellow or chocolate lab on the first draw, replace the dog, and then draw a black lab? Q29: What's the probability that you draw a yellow lab on the first draw, don't put the lab back, and then draw either a yellow or chocolate lab on the second draw? The following 3 questions (Q30 to Q32) are based on the following information: John has the phone numbers of many young ladies. Some of these young ladies are blonde and others are brunettes. In addition, John knows that some are single while others have boyfriends. The exact breakdown is as follows: Blonde Brunette Single 15 18 Taken 10 12 Find the following probabilities: Q30: What is the probability of selecting someone who is taken, given that they are blonde? Q31: What is the probability of selecting a single brunette? Q32: What is the probability of selecting someone who is brunette, given that they are taken? 5