### Home > GC > Chapter 5 > Lesson 5.1.2 > Problem 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.

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

parentsinterior top left

interior top middle

interior top right

left edge middle

nieceinterior middle left

interior middle middle

interior middle right

left edge bottom

boyfriendinterior bottom left

interior bottom middle

interior bottom right

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

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

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.