Math 106 - 17 February 2017 Finite Mathematics Quiz 5 There are five (5) problems in this fourth Quiz. Please show all your work, as your method is as important as your solution. Please return the completed quiz to your assignment folder prior to 11:59 PM Sunday, 19 Feb 17. By downloading this quiz, you agree to abide by all policies as set forth by University of Maryland University College. Please use a keyboard or editor where possible. 1. There are 114,900,000 homes with at least one television in the US. For Superbowl 2010, 19,400,000 turned on the Saints-Colts game, and 9,700,000 turned on 'The Beverly Hillbillies' instead. What was the probability that: a. The viewers were watching the Superbowl? b. The viewers were watching 'The Beverly Hillbillies'? 2. In advertising studies, the U.S. Postal Service has found the probability that a piece of advertising sent via U.S. Mail is 78%. A local real estate agent sends out 15,000 pieces of advertising on their homes for sale. How many of these pieces of advertising can the agent expect will actually be opened and read? 3. Take a standard 52-card deck. What is the probability of drawing the following: a. Queen b. Ace or 10 c. Any card in hearts suit d. A Black 6 4. Three (3) coins are tossed. Answer the following: a. What is the set of possible outcomes? b. What is the probability of obtaining exactly 1 'Head\"? What is the probability of obtaining at most 2 'Tails'? c. Probability of at least 1 'Head'? d. Probably of exactly 2 'Tails'? 5. An American roulette wheel has 38 slots numbered 00, 0, 1 - 36. 18 of the slots in the 1 - 36 are colored red, and 18 are colored black. The 0 and 00 slots are considered 'uncolored'. The wheel is spun, and a ball rounds the peripheral until gravity takes over and the ball lands in a slot. What is the probability of the ball falling into: a. b. c. d. A black slot: The 0 slot: An odd-numbered slot The number 24