1.

If a person visits his dentist, suppose the probability that he willhave his teeth cleaned is 0.48, the probability that the will have cavityfilled is 0.25, probability that he will have a tooth extracted is 0.20, the probabilitythat he will have teeth cleaned and cavity filled is 0.09, the probability thathe will have his teeth cleaned and a tooth extracted is 0.12, the probabilitythat he will have as cavity filled and tooth extracted is 0.07, and theprobability that he will have his teeth cleaned, cavity filled , and toothextracted s 0.03. What is the probability that a person visiting his dentistwill have at least one of these things done ot him?

Answer» A: teeth cleaned
B:cavity filled
C:tooth extracted
`P(A)=0.48,P(B)=0.25,P(C)+0.2`
`P(AnnB)=0.09,P(BnnC)=0.07,P(AnnC)=0.12`
`P(AnnBnnC)=0.03`
`P(AuuBuuC)=P(A)+P(B)+P(C)-P(AnnB)-P(BnnC)-P(CnnA)+P(AnnBnnC)`
`=0.48+0.25+0.2-0.07-0.09-0.12+0.03`
`=0.68`.


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