a department store has some colorful teacups on clearance. an employee noted the numbers and kinds of…
a department store has some colorful teacups on clearance. an employee noted the numbers and kinds of teacups that are left. small medium green 5 5 yellow 3 5 blue 4 1 what is the probability that a randomly selected cup is green given that the cup is small? simplify any fractions.
Answer
Explanation:
Step1: Encontrar el número total de tazas pequeñas
Sumamos los valores de la columna "Small": $5 + 3+4=12$.
Step2: Encontrar el número de tazas pequeñas verdes
El número de tazas pequeñas verdes es 5.
Step3: Calcular la probabilidad condicional
La probabilidad condicional $P(Green|Small)$ se calcula como $\frac{\text{número de tazas pequeñas verdes}}{\text{número total de tazas pequeñas}}$. Entonces $P(Green|Small)=\frac{5}{12}$.
Answer:
$\frac{5}{12}$