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Addison is a physical therapist who specializes in pediatric leg injuries. Her patients differ in age and type of injury. Knee pain Ankle pain 0-12 years old 3 6 13-19 years old 4 5 What is the probability that a randomly selected patient is not 13-19 years old and does not suffer from ankle pain? Simplify any fractions. ◻

Addison is a physical therapist who specializes in pediatric leg injuries. Her patients differ in age and type of injury.\newline\begin{tabular}{|l|c|c|}\newline\hline & Knee pain & Ankle pain \\\newline\hline 0−12 0-12 years old & 33 & 66 \\\newline\hline 13−19 13-19 years old & 44 & 55 \\\newline\hline\newline\end{tabular}\newlineWhat is the probability that a randomly selected patient is not 13−19 13-19 years old and does not suffer from ankle pain?\newlineSimplify any fractions.\newline□ \square

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Q. Addison is a physical therapist who specializes in pediatric leg injuries. Her patients differ in age and type of injury.\newline\begin{tabular}{|l|c|c|}\newline\hline & Knee pain & Ankle pain \\\newline\hline 0−12 0-12 years old & 33 & 66 \\\newline\hline 13−19 13-19 years old & 44 & 55 \\\newline\hline\newline\end{tabular}\newlineWhat is the probability that a randomly selected patient is not 13−19 13-19 years old and does not suffer from ankle pain?\newlineSimplify any fractions.\newline□ \square
  1. Find Total Patients: First, let's find the total number of patients. Add up all the patients in the table.\newlineTotal patients = 33 (0−12,extKnee)+6(0-12, ext{Knee}) + 6 (0−12,extAnkle)+(0-12, ext{Ankle}) + 44 (1313−19-19, ext{Knee}) + 55 $(\(13\)\(-19\), ext{Ankle})\(\newline\)Total patients = \(3 + 6 + 4 + 5\)\(\newline\)Total patients = \(18\)
  2. Find Patients Not \(13\)\(-19\): Now, let's find the number of patients who are not \(13\)-\(19\) years old and do not have ankle pain.\(\newline\)This is the number of patients who are \(0\)-\(12\) years old with knee pain.\(\newline\)Patients not \(13\)-\(19\) years old and without ankle pain = \(3\) (\(0\)-\(12\), Knee)
  3. Calculate Probability: Calculate the probability.\(\newline\)Probability = Number of patients not \(13\)-\(19\) years old and without ankle pain / Total number of patients\(\newline\)Probability = \(\frac{3}{18}\)
  4. Simplify Fraction: Simplify the fraction.\(\newline\)Probability = \(\frac{1}{6}\)

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