brett is the proud owner of an eclectic bow tie collection. he keeps track of how many bow ties he has, and…
brett is the proud owner of an eclectic bow tie collection. he keeps track of how many bow ties he has, and organizes them by pattern and material. what is the probability that a randomly selected bow tie is decorated with swirls given that the bow tie is made of velvet? simplify any fractions.
Answer
Explanation:
Step1: Encontrar el total de corbatas de terciopelo
Sumamos los valores de terciopelo en la tabla: $7 + 8+9=24$.
Step2: Encontrar el número de corbatas de terciopelo con remos
El número de corbatas de terciopelo con remos es 8.
Step3: Calcular la probabilidad condicional
La probabilidad condicional $P(A|B)$ (A: corbata con remos, B: corbata de terciopelo) se calcula como $\frac{n(A\cap B)}{n(B)}$. Aquí, $n(A\cap B) = 8$ (corbatas de terciopelo con remos) y $n(B)=24$ (corbatas de terciopelo). Entonces la probabilidad es $\frac{8}{24}=\frac{1}{3}$.
Answer:
$\frac{1}{3}$