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Movies When randomly selecting a speaking character in a movie, the probability of getting a female is 0.331 (based on data from Inequality in 1200

Movies When randomly selecting a speaking character in a movie, the probability of getting a female is 0.331 (based on data from "Inequality in 1200 Popular Films," by Smith, et al., Annenberg Foundation). If we want to find the probability that among five randomly selected speaking characters in movies, there are exactly two females, what is wrong with this solution:

P(2 females among 5 speaking characters)=

P (female) P(female) • P(male)-P(male) • P(male)=

(0.331)(0.331)(1 - 0.331)(1 - 0.331)(1 - 0.331)= 0.0328

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