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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].
- What is the probability that both Lilly and Lucy will catch mice?
- What is the probability that neither Lilly nor Lucy will catch mice?
- What is the probability that only Lucy will catch mice?
- 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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