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A corona virus is spreading through a city. A vaccination is available to protect against the virus. If a person has had the vaccination, the

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A corona virus is spreading through a city. A vaccination is available to protect against the virus. If a person has had the vaccination, the probability of catching the virus is 0.1; without the vaccination, the probability is 0.3. The probability of a randomly selected person catching the virus is 0.22. The probability that a randomly chosen person has been vaccinated is

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