gordon is a physical therapist who specializes in pediatric leg injuries. his patients differ in age and…

gordon is a physical therapist who specializes in pediatric leg injuries. his patients differ in age and type of injury.\nwhat is the probability that a randomly selected patient is 13 - 19 years old or suffers from knee pain?\nsimplify any fractions.

gordon is a physical therapist who specializes in pediatric leg injuries. his patients differ in age and type of injury.\nwhat is the probability that a randomly selected patient is 13 - 19 years old or suffers from knee pain?\nsimplify any fractions.

Answer

Answer:

$\frac{7}{7}$

Explanation:

Step1: Calculate total number of patients

$3 + 3+4 + 5=15$

Step2: Calculate number of 13 - 19 year - old patients

$4 + 5=9$

Step3: Calculate number of patients with knee pain

$3+4 = 7$

Step4: Calculate number of 13 - 19 year - old patients with knee pain

$4$

Step5: Use the inclusion - exclusion principle

$n(A\cup B)=n(A)+n(B)-n(A\cap B)$ Here, $A$ is the set of 13 - 19 year - old patients and $B$ is the set of patients with knee pain. $n(A\cup B)=9 + 7-4=12$

Step6: Calculate the probability

$P=\frac{12}{15}=\frac{4}{5}$