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

Explanation:

Step1: Define sample - space for a die roll

The sample - space is the set of all possible outcomes. When rolling a number cube labeled 1 to 6, the possible outcomes are 1, 2, 3, 4, 5, 6. So the sample - space $S=\{1,2,3,4,5,6\}$.

Step2: Identify outcomes for rolling a 2

The event of rolling a 2 has only one outcome, which is 2. So the set for this event $E = \{2\}$.

Answer:

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