Skill: Identify possible outcomes

Explanation and Free Practice Resources

Possible outcomes are the results that could occur in a simple chance situation, such as the colors on a spinner, numbers on a die, or heads and tails from a coin; an outcome is possible even if it does not occur on a particular trial. The learner distinguishes possible outcomes from impossible outcomes and understands that identifying the complete set of outcomes supports later comparisons of likelihood and probability.

Detailed Explanation: Identify possible outcomes

An outcome is what happens in a chance situation. To identify the possible outcomes, look at everything that could happen.

Example

A six-sided die has the numbers (1,2,3,4,5,)(1, 2, 3, 4, 5,) and 66. What are the possible outcomes when you roll it?

Step 1: Look at all the sides of the die.
The numbers are (1,2,3,4,5,)(1, 2, 3, 4, 5,) and 66.

Step 2: List every result that could happen.
The possible outcomes are:

1, 2, 3, 4, 5, 61,\ 2,\ 3,\ 4,\ 5,\ 6

Step 3: Check for impossible outcomes.
A 33 is possible because it is on the die. A 77 is impossible because there is no 77 on the die.

The die will show only one of the listed numbers when rolled. Even if a 22 does not appear on one roll, 22 is still a possible outcome because it could appear on another roll.

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Probability - Randomizer - List All Possible Outcomes


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