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 the number 3. if there is more than one element in the set, separate them with commas. sample space: event of rolling the number 3 :

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 3. if there is more than one element in the set, separate them with commas. sample space: event of rolling the number 3 :

Answer

Explanation:

Step1: Define sample space

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 event outcomes

The event is rolling the number 3. The only outcome for this event is 3. So the event set $E = {3}$.

Answer:

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