# Statistics Questions

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Please write neatly and always show your work. 1. You have a red die and a green die, and will roll both. a) There are thirty-six possible outcomes. Show how this number is calculated. b) List those thirty-six possibilities. c) Explain why each of the thirty-six possibilities should have equal probability. d) Let D = the green die result is larger than the red die result. List the elements of D, and then find P(D). e) Let E = the green die result is even and the red die result is odd. List the elements of E, then find P(E). f) Let F = D∩ E. List the elements of F, then find P(F). g) Using what has already been done, find P(D ∪ E). 2. Bea and Zach meet to play three sets of tennis every Saturday. We can think of each of their Sat-urday matches as an experiment which generates an observation. For instance, BZZ would be the observation that

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