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.

Mint Fruity
Caffeine-free 4 3
Caffeinated 6 3
What is the probability that a randomly selected tea is caffeine-free and fruity?
Simplify any fractions.

1 answer

To find the probability of selecting a caffeine-free and fruity tea, we need to divide the number of caffeine-free and fruity teas by the total number of teas.

There are 4 caffeine-free and fruity teas out of a total of 4 + 3 + 6 + 3 = 16 teas.

Therefore, the probability of selecting a caffeine-free and fruity tea is 4/16 which simplifies to 1/4 or 0.25.