Envision Math 2.0: Grade 7, Volume 2
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Envision Math 2.0: Grade 7, Volume 2 View details
5. Determine Outcomes of Compound Events
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Exercise 4 Page 388

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

Example Table:

Outcomes 1 2 3
Red Red, 1 Red, 2 Red, 3
Blue Blue, 1 Blue, 2 Blue, 3
Green Green, 1 Green, 2 Green, 3
Practice makes perfect
We are given an experiment and want to represent the sample space by making a table. 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.
  • Spinner A — Landing on red section or blue section or green section
  • Spinner B — Landing on section 1 or section 2 or section 3

To make the table, we will list the outcomes of the first spin in the left column and the outcomes of the second spin in the top row.

Outcomes 1 2 3
Red Red, 1 Red, 2 Red, 3
Blue Blue, 1 Blue, 2 Blue, 3
Green Green, 1 Green, 2 Green, 3

Keep in mind that there are several ways to make a table. The part that matters most is that the sample space ends up with all of the possible combinations.