A number cube with faces labeled from 1 to 6 will be rolled once. The number rolled will be recorded as the outcome. Give the sample space describing all possible outcomes. Then give all of the outcomes for the event of rolling a number greater than 3. If there is more than one element in the set, separate them with commas. Sample space: \( \{\square\} \) Event of rolling a number greater than \( 3:\{\square\} \)

To solve this problem, we need to identify the sample space and the specific event of rolling a number greater than 3. 1. **Sample Space**: The sample space is the set of all possible outcomes when rolling a number cube (die) with faces labeled from 1 to 6. Therefore, the sample space can be represented as: \[ S = \{1, 2, 3, 4, 5, 6\} \] 2. **Event of Rolling a Number Greater than 3**: We need to identify the outcomes that are greater than 3. The numbers greater than 3 on the cube are 4, 5, and 6. Thus, the event can be represented as: \[ E = \{4, 5, 6\} \] Now, we can summarize the results: - Sample space: \( \{1, 2, 3, 4, 5, 6\} \) - Event of rolling a number greater than 3: \( \{4, 5, 6\} \)