Select the correct answer. 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. 81

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)