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. 81

Answer 1

Answer:

Step-by-step explanation:

C

Answer 2

64

Explanation:

Sample space : -

Set of all possible outcomes or results of the following  experiment is called sample space .

Given : -

Likely sample outcomes of a single stage of an experiment = 4

Find : -

The total number of elements in the sample space if the experiment has 3 stages.

Total number of elements in the sample space   is

Total number of outcomes of a single stage experiment of thrice of number of stages.

4 × 4 × 4 = 64

Hence the number of elements in the sample space = 64