Discrete Probability Distributions 1. Using the spinner below (using either colours or numbers), create a game. a) Explain the rules of the game 3 3 b) Create a probability distribution for points in both tabular and graphical form. You may graph by hand, or 2 use google sheets or similar software. c) What is the expected value of the game? What 2 does this value represent in the context of the question? d) Is it is fair game? Explain your reasoning. 2. Choose one of the following questions Up to level 4 Up to level 4+ The probability of Abby waking up on time on Ms. Kelly has a 10-sided a given day is 60%. die (d10). A success in a a) What is the probability that in a 5-day game is rolling a 6 or school week, she wakes up on time on lower. Ms. Kelly plays the Tuesday? game 5 times. b) What is the probability that in a 5-day a) What is the school week, she wakes up on time probability that she exactly once? will succeed on her second try? c) What is the probability that in a 5-day b) What is the probability that out of 5 tries, school week, she wakes up on time she succeeds exactly once? exactly once or twice? c) What is the probability that out of 5 tires, d) What is the probability that in a 5-day she succeeds once or twice? school week, she wakes up on time at d) What is the probability that out of 5 tries, most four times? she succeeds at most 4 times? e) What is the expected value? What does What is the expected value? What does that mean in the context of this that mean in the context of this situation? situation