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 11 Page 390

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

Example Organized List:
{(Friend1,K), (Friend1,L), (Friend1,W), (Friend2,K), (Friend2,L), (Friend2,W)}

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 a friend and one of the drink flavors.
  • Friend — Friend 1 or Friend 2
  • Drink Flavor — Kiwi (K) or lemon (L) or watermelon (W)

The two possible outcomes for choosing one of the friends are friend 1 or friend 2. There are also three possible outcomes for the drink flavor, an K or L or W. We will pair each possible outcome from choosing a friend with the possible outcomes from the drink flavor. {(Friend1,K), (Friend1,L), (Friend1,W), (Friend2,K), (Friend2,L), (Friend2,W)} 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.