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 1, 3, or 4. If there is more than one element in the set, separate them with commas. Sample space: {} Event of rolling the number 1 3, or 4 :

Answer 1

Sample space:
`\Omega=\{1,2,3,4,5,6\}`

Event of rolling the number 1 3, or 4 : A={1,3,4}

Explanation:

When you roll a number cube with faces labeled from 1 to 6 once.

The possible outcomes are: 1,2,3,4,5 or 6.

Therefore, the sample space of this event is:

• Sample space:
  `\Omega=\{1,2,3,4,5,6\}`

Given the event of rolling the numbers 1, 3, or 4.

Now we are required to give the outcomes for the event of rolling number 1,3 or 4. Let's call the event A. The set of possible outcomes for A has all the numbers 1, 3 and 4 as follows

• Event of rolling the number 1 3, or 4 :A= {1,3,4}