Sixty five students were chosen and asked, and it was found that each of the students liked at least one of the following three laptop brands: Acer, Dell, and Lenovo. thirty five liked Acer. thirty two liked Dell. thirty three liked Lenovo. eleven liked Acer and Dell. fifteen liked Dell and Lenovo. seventeen liked Acer and Lenovo. nineteen liked exactly two of the following brands: Acer, Dell, and Lenovo a. How many students liked Acer, but not Dell or Lenovo? b. How many students liked all of the following three laptops: Acer, Dell, and Lenovo? c. What is the probability that the students liked Dell but not Lenovo or Acer?

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter14: Counting And Probability
Section14.CT: Chapter Test
Problem 2CT: A hospital cafeteria offers a fixed-price lunch consisting of a main course, a dessert, and a drink....
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Sixty five students were chosen and asked, and it was found that each of the students
liked at least one of the following three laptop brands: Acer, Dell, and Lenovo.
thirty five liked Acer.
thirty two liked Dell.
thirty three liked Lenovo.
eleven liked Acer and Dell.
fifteen liked Dell and Lenovo.
seventeen liked Acer and Lenovo.
nineteen liked exactly two of the following brands: Acer, Dell, and Lenovo
a. How many students liked Acer, but not Dell or Lenovo?
b. How many students liked all of the following three laptops: Acer, Dell, and Lenovo?
c. What is the probability that the students liked Dell but not Lenovo or Acer?
Transcribed Image Text:Sixty five students were chosen and asked, and it was found that each of the students liked at least one of the following three laptop brands: Acer, Dell, and Lenovo. thirty five liked Acer. thirty two liked Dell. thirty three liked Lenovo. eleven liked Acer and Dell. fifteen liked Dell and Lenovo. seventeen liked Acer and Lenovo. nineteen liked exactly two of the following brands: Acer, Dell, and Lenovo a. How many students liked Acer, but not Dell or Lenovo? b. How many students liked all of the following three laptops: Acer, Dell, and Lenovo? c. What is the probability that the students liked Dell but not Lenovo or Acer?
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