Big Ideas Math: Modeling Real Life, Grade 7
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Big Ideas Math: Modeling Real Life, Grade 7 View details
4. Constructing Polygons
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Exercise 3 Page 386

The sample space of an experiment is the set of all possible outcomes.

Example Tree Diagram:

tree diagram

Number of Possible Outcomes: 6

Practice makes perfect
We are given an experiment and want to represent the sample space by making a tree diagram. The sample space of an experiment is the set of all possible outcomes. In this case, the sample space is the result of two stages of choosing a toothbrush.
  • First Exercise — Electric or Traditional
  • Second Exercise — Extra Soft, Soft, or Medium

Keep in mind that there are several ways to make a tree diagram. The part that matters most is that the sample space ends up with all of the possible combinations. Let's now draw a tree diagram to represent the situation.

tree siagram

The are a total of 6 possible outcomes of this event.