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 a number less than 5. if there is more than one element in the set, separate them with commas. sample space: {} event of rolling a number less than 5 : {}

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 less than 5. if there is more than one element in the set, separate them with commas. sample space: {} event of rolling a number less than 5 : {}

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 a number less than 5. The numbers less than 5 in the set ${1,2,3,4,5,6}$ are 1, 2, 3, 4. So the event set $E = {1,2,3,4}$.

Answer:

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