For all problems in this worksheet, show with unreduced fractions or formulas how you found the probability. Answers only in decimal form with no support will not earn credit. For problems involving permutations and combinations, you are not required to show work with formulas, but what you put in your calculator to get the answers (for example, 10C4 = 210). 1. In a certain high school, 22% of students are juniors, 24% are seniors, 88% are taking a math class, 20% are taking an art class, and 15% are taking both math and art. Consider the "experiment" of selecting a random student. a. Find the probability that a randomly selected student is a junior or a senior. Assume no student can be both a junior and a senior at the same time. b. Find the probability that a randomly selected student is taking math or art. c. Find the probability that a randomly selected student is not taking math. d. Find the probability that a randomly selected student is taking neither math nor art