Need help 1-6a.! Finite math-Math m118, Chapter 4

Please work all problems and show your work. Remember, an answer with no justification is no answer. (4 pt. each possible for work and correct answer on three problems, 8 pt. possible for showing good work on the remaining problems). 1. The probability that sports team A wins over team B is a. What are the odds in favor of A? b. What are the odds against A? 2. The odds in favor of winning a game are 9:3. What is the probability of Winning the game? b. Losing the game? 3. Percy needs to take a business trip to 8 cities, four of which are in the Midwest. He goes to Boston, New York, Annapolis, Miami, Indianapolis, Cincinnati, St. Louis and Chicago. What is the probability that he visits Indianapolis, St. Louis, Cincinnati and Chicago consecutively? 4. A number is selected from the set {1,2,3,4,5,6,7,8,9,10,11). What is the probability that it is less than 7 or odd? 5. Out of 95 customers in a coffee shop 67 are buying coffee, 45 are buying a pastry and 25 are buying both. What is the probability that a customer ordered a. Coffee only? b. Neither one of these? c. At least one of these? 6. Five cards are selected from a standard deck of 52 cards. What is the probability that the hand contains a. Two clubs and 1 spade