[Solution] It is known that 20% of the women are smoking and 65% of the women who smoke prefer menthol cigarettes. It is also known that 35% of the men are


Question: It is known that 20% of the women are smoking and 65% of the women who smoke prefer menthol cigarettes. It is also known that 35% of the men are smoking and that 30% of the men who smoke prefer menthol cigarettes. Assume that 50% are men and 50% are women. A person is selected in random from this population.

  1. What is the probability that this person smokes?
  2. What is the probability that this person smokes menthol cigarettes?
  3. It is known that the selected person smokes. What is the probability that this person is a woman?
  4. It is known that the selected person smokes. What is the probability that this person is smoking menthol cigarettes?
  5. It is known that the selected person smokes menthol cigarettes. What is the probability that this person is a woman?

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