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

clayton works at a coffee shop on weekends. every now and then, a customer will order a hot tea and ask clayton 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 and fruity? simplify any fractions.

clayton works at a coffee shop on weekends. every now and then, a customer will order a hot tea and ask clayton 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 and fruity? simplify any fractions.

Answer

Explanation:

Step1: Calculate total number of teas

$4 + 3+6 + 3=16$

Step2: Identify number of caffeine - free and fruity teas

The number of caffeine - free and fruity teas is 3.

Step3: Calculate probability

The probability $P$ is the number of favorable outcomes divided by the total number of outcomes. So $P=\frac{3}{16}$.

Answer:

$\frac{3}{16}$