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 12 Page 390

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

Example Organized List:
{(S,1), (S,2), (S,3), (M,1), (M,2), (M,3), (L,1), (L,2), (L,3)}

Practice makes perfect
We are given an experiment and want to represent the sample space by making an organized list. 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, picking size of the cup and color.
  • Cup Size — Small (S) or medium (M) or large (L)
  • Cup Color — Red (R) or white (W) or blue (B)

The three possible outcomes for the cup size are small (S) or medium (M) or large (L). There are also three possible outcomes for the cup color, red (R) or white (W) or blue (B). We will pair each possible outcome from the cup size with the possible outcomes from the cup color. {(S,1), (S,2), (S,3), (M,1), (M,2), (M,3), (L,1), (L,2), (L,3)} Keep in mind that there are several ways to make a list. The part that matters most is that the sample space ends up with all of the possible combinations.