Question

A number cube with faces labeled from 1 to 6 will be rolled once.

Answer 1

Answer:

$\Omega=\{1,2,3,4,5,6\}$

$A=\{1,2,3,4\}$

Step-by-step explanation:

Sample Space

The sample space of a random experience is a set of all the possible outcomes of that experience. It's usually denoted by the letter $\Omega$.

We have a number cube with all faces labeled from 1 to 6. That cube is to be rolled once. The visible number shown in the cube is recorded as the outcome. The possible outcomes are listed as the sample space below:

$\Omega=\{1,2,3,4,5,6\}$

Now we are required to give the outcomes for the event of rolling a number less than 5. Let's call A to such event. The set of possible outcomes for A has all the numbers from 1 to 4 as follows

$A=\{1,2,3,4\}$