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Lilly and Lucy, are two stray cats who love to catch mice. Lilly will catch mice 5% of the time and Lucy will catch mice

Lilly and Lucy, are two stray cats who love to catch mice. Lilly will catch mice 5% of the time and Lucy will catch mice 20% of the time [suppose Lilly and Lucy's decision to catch mice is independent of one another].

  1. What is the probability that both Lilly and Lucy will catch mice?
  2. What is the probability that neither Lilly nor Lucy will catch mice?
  3. What is the probability that only Lucy will catch mice?
  4. Based on your answers to questions above, are Lilly and Lucy's decisions to catch mice mutually exclusive? (Yes or No - explain why).

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