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Probability of Being Contacted in an Emergency

Jules, Vincent, and Mia are physicians at the local hospital. One of their duties is being on call during non-working hours to handle any emergencies that might come up. Each carries a pager that can be activated by hospital personnel. Suppose Jules responds to his pager 80% of the time, Vincent responds to his pager 55% of the time, and Mia responds to her pager 70% of the time. If each person responds independently, what is the probability that at least one of them could be contacted in the event of an emergency?

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Instead of calculating the probabilities for all possible events, you can ask thequestion: "what is the probability that no one ...

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This solution provides step-by-step calculations for finding probability.