Homework Probability 2 {4 Questions} 1. Mr. Fury is playing a game where the prizes are St], 525, 55!}, and lm]. There is a T256 chance he will win nothing, a 15% chance he will win 525, an 8% chance he will win $50, and 5% chance he will win 510i}. A. What is Mr. Furyds expected prize amount? B. If it costs him 55 to enter the game, do you think he should enter? Use the information in the problem and the Math you did in step 1 toiustify your answer. 2. At a restaurant, 5am can choose 2 entrees out of 9 options and 2 sides out of 1D options. How many different meals can he create if he do es not repeat any choices? {Type your answer with only numbersno commas or decimals]. l 3. Krista interviewed her coworkers about their coffee preferences. The 'v'enn diagram shows the number of people who like cream, sugar, and both in their coffee. Wh at is the probability that a person who likes cream in their coffee does not also like sugar in their coffee? Give an exact answer in the form of a simplied fraction. l 4. Mr. Stark has 35 different fancy suits and 121] ties to choose from. His favorite is a gray suit with black stripes, and a red tie with tiny airplanes on it. Jarvis randomly selects a suit and tie for him. Select g_I[_o_t the statements below that are true. A. He has a #155 chance of Jarvis selecting his favorite suitftie combo. B. He has a {1.00024 probability of Jarvis selecting his favorite suity'tie combo. C. There are 4203 possibie suitftie matches that can be made, if every suit and every tie can go together. D. If Mr. Stark also has 110 different shirts, there would he 462,00!) possible outfits