Rework problem 23 from section 3.1 of your text, involving a movie critic reviewing films. Assume that the critic finds that 50 percent of the movies have positive comments about the plot, 50 percent have positive comments about the acting, and 20 percent were not given positive comments about either plot or acting. What is the probability that a randomly selected movie was given positive comments about both plot and acting?
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P(Plot) = 0.50 , P(acting) = 0.50 , P(Plot OR acting)c = 0.20 So, P(Plot OR acting) = 1 - P(Plot OR acting)c = 1 - 0.20 = 0.80 P(Plot OR acting) = P(Plot) + P(acting) - P(plot AND acting) P(plot AND acting) = P(Plot) + P(acting) - P(Plot OR acting) = 0.5 + 0.5 - 0.8 = 0.20 ...