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In a certain population, 22% of people are smokers, 57% of people are males and 12% are males who are…

By the addition theorem of probability for non-mutually exclusive events, P(Male or Smoker) = P(Male) + P(Smoker) − P(Male and Smoker). Substituting the given probabilities…

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In a certain population, 22% of people are smokers, 57% of people are males and 12% are males who are smokers. If a person is chosen at random from the population, what is the probability that the selected person is either a male or a smoker?

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Correct answer D

By the addition theorem of probability for non-mutually exclusive events, P(Male or Smoker) = P(Male) + P(Smoker) − P(Male and Smoker). Substituting the given probabilities yields 0.57 + 0.22 − 0.12 = 0.67.

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