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 1, 3, or 4. if there is more than one element in the set, separate them with commas. sample space: event of rolling the number 1, 3, or 4:
Answer
Explanation:
Step1: Define sample space
The sample space is all possible outcomes when rolling the number - cube. Since the faces are labeled 1 to 6, the sample space is the set of these numbers. ${1,2,3,4,5,6}$
Step2: Define event space
The event is rolling the number 1, 3, or 4. So the event - space is the set containing these numbers. ${1,3,4}$
Answer:
Sample space: ${1,2,3,4,5,6}$ Event of rolling the number 1, 3, or 4: ${1,3,4}$