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Marian is a pediatrician that has the following appointments today: 6 vaccinations, 3 wellness checks, and 5 ill children. Marian randomly selects a file from one of the appointments. What is the probability that Marian selects a vaccination?Give your answer as a simplified fraction.

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It is given that,


\begin{gathered} Number\text{ of vaccination = 6} \\ Number\text{ of wellness checks = 3} \\ Number\text{ of ill children = 5} \end{gathered}

The required probability is given as,


P(Vaccinations)\text{ = }\frac{Number\text{ of vaccinations }}{Total\text{ number of files}}

Therefore,


\begin{gathered} P(Vaccinations)\text{ = }(6)/(14) \\ P(Vaccinations)\text{ = 0.4285} \end{gathered}

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