9. A dish contains three cherry candies, four lemon candies and five grape candies. If we randomly select two candies from the dish without replacement, what is the probability that we get one cherry candy and one grape candy? (A) 0.1042 (B) 0.1136 (C) 0.1628 (D) 0.2084 (E) 0.2272 10. In a game of poker, you are dealt five cards from a deck of 52 cards. What is the probability that you get a flush (five cards of the same suit)? (A) 0.0005 (B) 0.0010 (C) 0.0020 (D) 0.0030 (E) 0.0040 11. In Vancouver, 42% of the days are rainy. Mary takes the bus 65% of the days. On 37% of days, she takes the bus and the weather is rainy. What is the probability that she takes the bus if the weather is not rainy? (A) 0.3595 (B) 0.3919 (C) 0.4363 (D) 0.4828 (E) 0.5424 12. A professor gives her class a short multiple choice quiz one day. There are three questions on the quiz. The first question has three possible answers (A, B, C), the second question has four possible answers (A, B, C, D) and the third question has five possible answers (A, B, C, D, E). An unprepared student randomly guesses the answer to each of the three questions. What is the probability that the student gets exactly one of the answers correct? (A) 0.3167 (B) 0.4333 (C) 0.5667 (D) 0.6725 (E) 0.7833 13. A swimmer is competing in two events at a swim meet. From past experience, he knows that his times in the 100-meter freestyle event follow a normal distribution with mean 53 seconds and standard deviation 0.7 seconds. His times in the 100-meter buttery follow a normal distribution with mean 55 seconds and standard deviation 0.9 seconds. He also knows that his times for the two events are independent. What is the probability that the swimmer has a faster (lower) time in the freestyle than in the butterfly? (A) 0.90 (B) 0.92 (C) 0.94 (D) 0.96 (E) 0.98