Question

Jill works at a coffee shop on weekends. Every now and then, a customer will order a hot tea and ask Jill to surprise them with the flavor. The teas are categorized by flavor and caffeine level. Mint Fruity Caffeine-free 2 7 Caffeinated 5 5 What is the probability that a randomly selected tea is caffeinated or mint? Simplify any fractions.

Answer 1

The grand total is given by

`n=2+7+5+5=19`

so, the probability of Caffeinated is

`P(Caffeinated)=(5)/(19)+(5)/(19)=(10)/(19)`

the probability of mint is

`P(\min t)=(2)/(19)+(5)/(19)=(7)/(19)`

and the probability of the intersection is

`P(Caffeinated\cap\min t)=(5)/(19)`

Then, the probabilty of the union is given by