a number cube with faces labeled from 1 to 6 will be rolled once. the number rolled will be recorded as the…

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 an odd number. if there is more than one element in the set, separate them with commas. sample space: {} event of rolling an odd number: {}
Answer
Explanation:
Step1: Identify all possible outcomes
The faces of the number - cube are labeled 1, 2, 3, 4, 5, 6. So the sample space is the set of all these numbers. $S={1,2,3,4,5,6}$
Step2: Identify odd - numbered outcomes
The odd numbers among 1, 2, 3, 4, 5, 6 are 1, 3, 5. So the event of rolling an odd number is the set of these odd numbers. $E = {1,3,5}$
Answer:
Sample space: 1,2,3,4,5,6 Event of rolling an odd number: 1,3,5