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 the number 2. if there is more than one element in the set, separate them with commas. sample space: \\{\\} event of rolling the number 2: \\{\\}

Explanation:

Step1: Determine the sample space

When rolling a number cube labeled from 1 to 6, the sample space \( S \) consists of all possible outcomes.
\( S=\{1,2,3,4,5,6\} \)

Step2: Identify the event of rolling the number 2

The event \( E \) (rolling a 2) has only one outcome.
\( E = \{2\} \)

Answer:

Sample space: \(\{1,2,3,4,5,6\}\)
Event of rolling the number 2: \(\{2\}\)