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The problem in the image states:

"Luke rolls a number cube and will win a game with an outcome of an even number or 5. Complete the statement. The winning outcomes are the (choose from a list) of {2, 4, 6} and {5}."

To solve this, let's look at the possible outcomes on a standard number cube (die), which are: {1, 2, 3, 4, 5, 6}. 

- The even numbers from a die are {2, 4, 6}.
- The number 5 is also part of the winning outcomes since it’s explicitly mentioned.

Therefore, the total set of winning outcomes is the union of these sets: {2, 4, 6} ∪ {5} = {2, 4, 5, 6}.

The statement should likely be completed as:  
"The winning outcomes are the **union** of {2, 4, 6} and {5}."

Would you like more details on this, or have any questions?

Here are 5 related questions to explore further:
1. What is the probability of rolling an even number on a die?
2. How would the problem change if Luke wins with odd numbers instead?
3. What is the probability of winning if Luke wins with an even number or 5?
4. How does set union apply in other probability scenarios?
5. What are mutually exclusive events in probability, and how do they apply here?

**Tip:** When dealing with probability problems, it helps to think in terms of set operations like unions, intersections, and complements to organize possible outcomes.

Luke rolls a number cube and will win a game with an outcome of an even number or 5. Complete the statement. The winning outcomes are the (choose from a list) of {2, 4, 6} and {5}.

Understand how to calculate winning outcomes for a dice roll game based on even numbers or the number 5. Explore set theory, probability, and basic set unions, suitable for Grades 6-8.

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