tara works at a coffee shop on weekends. every now and then, a customer will order a hot tea and ask tara to…

tara works at a coffee shop on weekends. every now and then, a customer will order a hot tea and ask tara to surprise them with the flavor. the teas are categorized by flavor and caffeine level. what is the probability that a randomly selected tea is caffeine - free given that the tea is mint? simplify any fractions.

tara works at a coffee shop on weekends. every now and then, a customer will order a hot tea and ask tara to surprise them with the flavor. the teas are categorized by flavor and caffeine level. what is the probability that a randomly selected tea is caffeine - free given that the tea is mint? simplify any fractions.

Answer

Explanation:

Step1: Identificar valores

El número de tés de menta sin cafeína es 3, y el número total de tés de menta es (3 + 4=7).

Step2: Aplicar fórmula de probabilidad condicional

La probabilidad condicional (P(A|B)) se calcula como (P(A|B)=\frac{n(A\cap B)}{n(B)}). Aquí, (A) es el evento "té sin cafeína" y (B) es el evento "té de menta". Entonces (P(\text{sin cafeína}|\text{menta})=\frac{3}{7}).

Answer:

(\frac{3}{7})