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. A large bakery has many different products for sale. Suppose that 200 customers come in between 6 am and 10 am. Of the 200 customers, 140 order donuts, 100 order cinnamon rolls, and 80 order both. Suppose a customer is randomly selected:(d) If we know a person orders donuts, what is the probability that they order cinnamon rolls?

Respuesta :

JeanaShupp

Answer:[tex]\dfrac{4}{7}[/tex]

Step-by-step explanation:

Formula for conditional probability:

[tex]P(B|A)=\dfrac{P(B\cap A)}{P(A)}[/tex]

Given: n (donuts) = 140

n(donuts and cinnamon rolls) = 80

Now, the probability that they order cinnamon rolls given that we = know a person orders donuts  will be :

[tex]P(cinnamon\ rolls |\ donuts)=\dfrac{n(cinnamon\ and \ donuts)}{n(donuts)}\\\\=\dfrac{80}{140}\\\\=\dfrac{4}{7}[/tex]

Required probability= [tex]\dfrac{4}{7}[/tex]

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