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 the set of all possible outcomes. When rolling a number cube labeled 1 - 6, all possible results are the numbers 1, 2, 3, 4, 5, 6. {1, 2, 3, 4, 5, 6}
Step2: Define event
The event is rolling a 1, 3, or 4. So the set of outcomes for this event is {1, 3, 4}.
Answer:
Sample space: {1, 2, 3, 4, 5, 6} Event of rolling the number 1, 3, or 4: {1, 3, 4}