uppose that the following names are written on a pieces of paper, folded up, and placed in a jar. {Al, Betty, Christopher, Diana, Ethan, Fran, Gus, Hillary} When one piece of paper is drawn from the jar, what is the probability that the name: a. is Al, Christopher, Ethan, or Gus? c. has 3 or less letters in the name? b. has 5 letters in the name? d. has 6 or more letter in the name? 2. A spinner has equally spaced regions number 1 through 15. What is the probability of spinning: a. an even number b. a number divisible by 5 c. a 1, 2, 14, or 15 3. If a die is rolled, find the probability of: a. a 3 is rolled. b. a 3 is not rolled. c. an even number that is greater than 3 is rolled. 4. If two 9-sided dice are rolled, what is the probability that: a. their sum is 7. b. their sum is less than 4. c. their sum is 16 or greater. 5. A drawer is filled with socks. Six are brown, 10 are black, and 14 are white. One sock is drawn, the color is recorded, and then the sock is replaced. Then a second sock is drawn. What is the probability that: a. both socks are black? b. the first sock is brown and the second is white? c. If the problem were changed so that the sock is not replaced, what is the probability that both socks are black? d. How about if both socks were brown? 6. a. What are the odds in favor of drawing an ace when one card is drawn from an ordinary 52-card deck? b. What are the odds against drawing a spade? 7. If the odds in favor of an event happening are 6 to 3, what is the probability that: a. the event will occur? b. the event will not occur? 8. Given the numbers {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12}. If one number is chosen at random, what is the probability that the number is: a. 6 given the number is even? b. even given that the number is 6? c. odd given the number is prime? d. 6 given the number is divisible by 3? 9. A business bureau gets complaints as shown in the following table. Find the expected number of complaints per day. 3 Complaints Per Day 0 1 2 4 5 0.04 0.11 0.26 0.28 0.19 0.12 Probability