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 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: {}

Explanation:

Step1: Define sample - space

The sample space of rolling a number cube with faces labeled 1 to 6 is the set of all possible outcomes. 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 outcomes for this event are the numbers in the sample - space that are less than 5. 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\}