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Home > GC > Chapter 5 > Lesson 5.1.2 > Problem 5-18

5-18.

Kendra has programmed her cell phone to randomly show one of six photos when she turns it on. Two of the photos are of her parents, one is of her niece, and three are of her boyfriend, Bruce. Today she will need to turn her phone on twice: once before school and again after school.

  1. Choose a model (such as a tree diagram or generic area model) to represent this situation.

    See possible area model below.

    top edge left parents

    top edge middle niece

    top edge left boyfriend

    left edge top
    parents
     

    interior top left


    interior top middle


    interior top right


    left edge middle
    niece
     

    interior middle left


    interior middle middle


    interior middle right


    left edge bottom
    boyfriend
     

    interior bottom left


    interior bottom middle


    interior bottom right


  2. What is the probability that both photos will be of her boyfriend?

    Use the area model in hint (a) to determine the probability.

  3. What is the probability that neither photo will be of her niece?

    Add up all the combinations that do not include a photo of Kendra's niece.