Answer:
The total number of elements in the sample space of the experiment for 3 stages = 64 (C)
Step-by-step explanation:
The number of equally likely sample outcomes of the single stage experiment = 4
For n number of stages, the total number of elements in the sample space = (outcome of a single stage)^n
This is = 4^n
To determine the total number of elements in the sample space if the experiment has 3 stages, we would multiply the outcome of one experiment three times.
Where n = 3
The total number of elements in the sample space of the experiment for 3 stages = 4³
= 4×4×4 = 64
The total number of elements in the sample space of the experiment for 3 stages = 64 (C)
