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 greater than .
If there is more than one element in the set, separate them with commas.

Answer 1

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 greater than 2.

If there is more than one element in the set, separate them with commas.

Answer:

`S = \{1,2,3,4,5,6\}`

`Greater2 = \{3,4,5,6\}`

Explanation:

Given

A roll of a 6 sided number cube

Solving (a): The sample space

This implies that we list out all number on the number cube.

So:

`S = \{1,2,3,4,5,6\}`

Solving (b): Outcomes greater than 2

This implies that we list out all number on the number cube greater than 2 i.e. 3 to 6.

So:

`Greater2 = \{3,4,5,6\}`