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 a number from 3 to 6. if there is more than one element in the set, separate them with commas. sample space: {} event of rolling a number from 3 to 6 : {}

Explanation:

Step1: Determine Sample Space

A number cube has faces labeled 1 - 6, so all possible outcomes are 1, 2, 3, 4, 5, 6.
Sample space: {1, 2, 3, 4, 5, 6}

Step2: Determine Event Outcomes

The event is rolling a number from 3 to 6, so the outcomes are 3, 4, 5, 6.
Event outcomes: {3, 4, 5, 6}

Answer:

Sample space: {1, 2, 3, 4, 5, 6}
Event of rolling a number from 3 to 6 : {3, 4, 5, 6}