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: C. 64
Step-by-step explanation:
We know that the number of total elements in the sample space is given by :_
[tex]N^n[/tex], 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 :-
[tex](4)^3=64[/tex]
Hence, the total number of elements in the sample space = 64.
