2. Suppose you spin a spinner with four equal sections (red, blue, green, and yellow) two times. a. List all of the possible outcomes for spinning two times. b. Define event A as spinning blue at least once. Find P(A). 3. A local restaurant is handing out coupons to customers as part of a marketing promotion. The coupons are all of equal size, well mixed, and have the name of a free item written on them. Here is the probability model for the items the customers can win: Color Probability Beverage 0.45 Appetizer 0.25 Entre Dessert 0.05 0.25 a. Explain why this is a valid probability model. b. Find the probability that a customer does not win an entre. 4. Among 120 middle school students, 70 like chocolate ice cream, 40 like strawberry ice cream, and 30 like both. Make a Venn diagram to display the sample space of this chance process using the events C: likes chocolate ice cream and S: likes strawberry ice cream. b. Find the probability that a randomly selected middle school student likes chocolate or strawberry ice cream. c. Find the probability that a randomly selected middle school student likes chocolate ice cream but not strawberry ice cream. d. What's the probability that a randomly selected middle school student likes chocolate ice cream, given that they like strawberry ice cream?