110k views
1 vote
A student rolls a number cube Whose six faces are numbered 1 through 6 what is the sample space for this experiment.

User Sardok
by
5.9k points

2 Answers

5 votes

Answer:

{1, 2, 3, 4, 5, 6}.

Explanation:

User Mythereal
by
4.9k points
5 votes

Answer:

It depends on how you define an outcome.

Usually, the outcomes are considered to be the number showing on the top face of the die (number cube) when it comes to rest on a horizontal surface. If that is how you define outcomes, then the sample space is the set of numbers 1–6: {1, 2, 3, 4, 5, 6}.

Explanation:

"This experiment" covers a lot of territory. The student could be checking to see if the die stays on the table or falls to the floor. The student could be experimenting to see if the die changes color or makes a certain kind of noise. The experiment could involve the number of times the die rolls over to a new face before it comes to rest. Until the experiment is properly defined, the sample space is unknown.

If the experiment is to see what number shows on the top face of the die at rest on a horizontal surface, then the sample space is presumably the set of numbers 1 through 6.

User Azghanvi
by
5.0k points