# What is the probability that a person visiting his dentist will have at least one of these things done to him?

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If a person visits his dentist, suppose that the probability that he will have his teeth cleaned is 0.44, the probability that he will have a cavity filled is 0.24, the probability that he will have a tooth extracted is 0.21, the probability that he will have his teeth cleaned and a cavity filled is 0.08, the probability that he will have his teeth cleaned and a tooth extracted is 0.11, the probability that he will have a cavity filled and a tooth extracted is 0.07, and the probability that he will have his teeth cleaned, a cavity filled, and a tooth extracted is 0.03. What is the probability that a person visiting his dentist will have at least one of these things done to him?

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The problem in this posting is solved with step by step instruction so that the student would be able to understand the problem easily and could use this solution as a model solution to work out other similar problems. This solution is provided in an attached Word document.

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Let A = the event of teeth cleaned

B = the event of Cavity filled

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