Question

the athletic director at silvergrove high school counted the number of students on each winter sports team. basketball 32 wrestling 10 gymnastics 4 ice hockey 16 swimming 10 what is the probability that a randomly selected winter athlete is on the gymnastics team? write your answer as a fraction or whole number. p(gymnastics) =

Explanation:

Step1: Calcular el número total de estudiantes

Sumamos los estudiantes de todos los equipos: \(32 + 10+4 + 16+10=72\)

Step2: Calcular la probabilidad

La probabilidad \(P(A)=\frac{\text{casos favorables}}{\text{casos totales}}\). Los casos favorables (estudiantes en gimnasia) son \(4\), y los casos totales son \(72\). Entonces \(P(\text{gimnasia})=\frac{4}{72}=\frac{1}{18}\)

Answer:

\(\frac{1}{18}\)