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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.

1 Answer

5 votes

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


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