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) 12
b) 16
c) 64
d) 81

Answer 1

The total number of elements in the sample space is 64.

Step-by-step explanation:

The total number of elements in the sample space can be found by multiplying the number of outcomes in each stage of the experiment. In this case, the number of outcomes in each stage is 4. To find the total number of elements in the sample space, we need to raise 4 to the power of 3, since there are 3 stages. This gives us 4 x 4 x 4 = 64 possible outcomes in the sample space.

Answer 2

The total number of elements in the sample space of an experiment with 3 stages is 64.

Step-by-step explanation:

To find the total number of elements in the sample space of an experiment with 3 stages, you need to multiply the number of outcomes for each stage. In this case, the number of outcomes in each stage is 4, so you would multiply 4 by itself three times: 4 x 4 x 4 = 64. Therefore, the total number of elements in the sample space is 64.