at the butler county fair, 22 of the last 64 people to spin the prize wheel won a prize. what is the…
at the butler county fair, 22 of the last 64 people to spin the prize wheel won a prize. what is the experimental probability that the next person to spin the wheel will win a prize? write your answer as a fraction or whole number. p(win) =
Answer
Answer:
$\frac{11}{32}$
Explanation:
Step1: Definir la fórmula de probabilidad experimental
La probabilidad experimental $P(E)$ se define como $\frac{\text{número de casos favorables}}{\text{número total de casos}}$.
Step2: Identificar casos favorables y totales
Los casos favorables son los 22 que ganaron un premio, y el número total de casos es 64 personas que giraron la rueda. Entonces $P(\text{win})=\frac{22}{64}$.
Step3: Simplificar la fracción
Dividimos tanto el numerador como el denominador por 2: $\frac{22\div2}{64\div2}=\frac{11}{32}$.