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A teacher surveyed her class about their
online accounts and wanted to know if they
had a Tablet Device or if they had a Smart
Phone. She wanted to know for a lab she
was going to have in class. The Venn
diagram shows her results. If a person from
the class is randomly selected, what is the
probability that the person has a Smart
Phone but not a tablet?

A teacher surveyed her class about their online accounts and wanted to know if they had a Tablet Device or if they had a Smart Phone. She wanted to know for a l class=

Answer :

Answer:

[tex]\frac{2}{5}[/tex]

Step-by-step explanation:

From the Venn diagram we can deduce the following:

  • The number of students having only tablet is 3.
  • The number of students having only smart phone is 8.
  • The number of students having both is 5.
  • The number of students having neither is 4.
  • Total number of students in class is 3+8+5+4=20.

Probability that a student has a smartphone but not a tablet = [tex]\frac{Number\ of\ students\ having\ only\ tablet}{Total\ number\ of\ students}[/tex] = [tex]\frac{8}{20} = \frac{2}{5}[/tex].

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