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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.

Respuesta :

The grand total is given by

[tex]n=2+7+5+5=19[/tex]

so, the probability of Caffeinated is

[tex]P(Caffeinated)=\frac{5}{19}+\frac{5}{19}=\frac{10}{19}[/tex]

the probability of mint is

[tex]P(\min t)=\frac{2}{19}+\frac{5}{19}=\frac{7}{19}[/tex]

and the probability of the intersection is

[tex]P(Caffeinated\cap\min t)=\frac{5}{19}[/tex]

Then, the probabilty of the union is given by

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