Question

savannah is the costume manager for a large theater company. she has 10 different hats, including 2 sailors caps. what is the probability that a randomly chosen hat from savannahs inventory will be a sailors cap? write your answer as a fraction or whole number. p(sailors cap) =

Explanation:

Step1: Definir la fórmula de probabilidad

La probabilidad \( P(A) \) de un evento \( A \) se calcula como \( P(A)=\frac{\text{número de casos favorables}}{\text{número total de casos}} \).

Step2: Identificar casos favorables y totales

Los casos favorables (sailor's caps) son \( 2 \), y el número total de hats es \( 10 \). Entonces, \( P(\text{sailor's cap})=\frac{2}{10} \).

Step3: Simplificar la fracción

Dividir numerador y denominador por \( 2 \): \( \frac{2\div2}{10\div2}=\frac{1}{5} \).

Answer:

\(\frac{1}{5}\)