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Chapter 4: Problem 5

In a group of adults, some own iPads, and others do not. If two adults are randomly selected from this group, how many total outcomes are possible? Draw a tree diagram for this experiment.

Short Answer

Expert verified
The total number of outcomes when two adults are randomly selected from this group is 4.

Step by step solution

01

Identify possible outcomes

There are two options for each adult: they can either own an iPad or not. Since we are selecting two adults, when taken together, the pair could be in one of four combinations: both own iPads, both don't own iPads, the first adult owns an iPad and the second does not, or the first adult does not own an iPad and the second does.
02

Drawing the tree diagram

To represent these outcomes visually, we can use a tree diagram. The first split in the tree represents the two options for the first adult, and then each of those options splits again to represent the two options for the second adult.
03

Counting the outcomes

By counting the 'leaves' of the tree--the final options that represent a pair of adults--we can find the total number of outcomes. In this case, there's four: \((iPad, iPad), (iPad, no iPad), (no iPad, iPad), (no iPad, no iPad)\)

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