# Math Help - Sample Space

1. ## Sample Space

Can be explained as to raise such questions.

1) Find the sample space of a random experiment which can have k possible outcomes.

2) Find all possible outcomes of the useful life of an article in hours.

3) Find the sample space of a randomized trial of 5 persons with respect to their degree of study.

2. You really need to be more specific what you are asking for.

Say you roll a die, the die can show either 1,2,3,4,5 or 6.
Let $X$ be a random variable with $X=1$ if the die shows a 1 and $X=2$ is the die shows a 2 and so on...

Then the sample space is simply $\left(1,2,3,4,5,6 \right)$ , that is the set which contains the values $X$ can take.