Question

If the number of equally likely sample outcomes of a single stage of an experiment is 4, what is the total number of elements in the sample space if the experiment has 3 stages? A. 16 B. 12 C. 64 D.

Answer 1

You would multiply outcomes 3 times to get the total number of elements in the sample space because the experiment has three stages.

4^3 = 64

Note: You can also multiply 4 three times.

Answer 2

Answer: C. 64

Explanation:

We know that the number of total elements in the sample space is given by :_

`N^n`, where N is the number of total possible outcomes for an event and n is the number of times event is repeated.

Given: The number of equally likely sample outcomes of a single stage of an experiment = 4

The number of stages in the experiment = 3

Then , the total number of elements in the sample space :-

`(4)^3=64`

Hence, the total number of elements in the sample space = 64.