Question

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 from 2 to 4. if there is more than one element in the set, separate them with commas. sample space: {} event of rolling a number from 2 to 4 : {}

Explanation:

Step1: Identify all possible results

The number - cube has faces labeled 1 - 6. So the sample space is all the numbers on the faces.
$S=\{1,2,3,4,5,6\}$

Step2: Identify the desired outcomes

The event is rolling a number from 2 to 4. So the outcomes are 2, 3, 4.
$E = \{2,3,4\}$

Answer:

Sample space: $\{1,2,3,4,5,6\}$
Event of rolling a number from 2 to 4: $\{2,3,4\}$