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(Solved) A certain city has one morning newspaper and one evening newspaper. It is estimated that 20% of the city’s households subscribe to the morning

Question: A certain city has one morning newspaper and one evening newspaper. It is estimated that 20% of the city’s households subscribe to the morning newspaper and 60% subscribe to the evening newspaper. Of those who subscribe to the morning paper, 80% also subscribe to the evening paper. Let A be the event that a given household subscribes to the morning newspaper, and B be the event that it subscribes to the evening newspaper.

  1. What is P(A∩B)?
  2. Are events A and B independent? Why or why not?
  3. What is P(A|B)?
  4. What is the probability that a given household subscribes to exactly one newspaper?
  5. What is the probability that a given household subscribes to neither newspaper?

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