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A restaurant noted what type of food its customers ordered last week. Here are the results:
Burger
Fries
30%
40%
10%
20%
Find the probability that a randomly chosen customer ordered a burger given that they ordered fries.
P (burger fries) =

Respuesta :

Edufirst

Answer:

  • 0.80

Explanation:

Since the results are not shown properly, I attach the picture with full question inlcuding the diagram that shows the results correctly.

You need to determine P(burger|fries)

That is the ratio of people that ordered burgers from the set of people that ordered fries (the intersection of the two circles) to the total people who ordered fries (the blue circle, including the intersection of the two circles).

The venn diagram shows that the set of people who ordered fries was 10% + 40% = 50% (the percentage inside the blue circle, including the intersection with the purple circle)

And from that set, the subset of people who also ordered burgers is 40% (the intersection of the two circles).

Thus, the probability that a randomly chosen customer ordered a burger given that they ordered fries is:

       [tex]P(burger\mid fries)=\dfrac{P(burger\cap fries)}{P(fries)}[/tex]

        [tex]{P (burger\mid fries)=\dfrac{40\% }{50\% }=0.80=80\%[/tex]

Ver imagen Edufirst
francocanacari

The probability that a randomly chosen customer ordered a burger given that he ordered fries is 80%.

To determine the probability that a randomly chosen customer ordered a burger given that he ordered fries, the following calculation must be performed:

  • Fries = 10%
  • Fries and burgers = 40%
  • Burgers = 30%
  • None = 20%
  • Fries + Fries and burgers = 50%
  • 50 = 100
  • 40 = X
  • 40 x 100/50 = X
  • 80 = X

Therefore, the probability that a randomly chosen customer ordered a burger given that he ordered fries is 80%.

Learn more about probability in https://brainly.com/question/9396458

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