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?

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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?

OC. 64

because it’s 64

Option C) 64 is right

Step-by-step explanation:

Given that the number of equally likely sample outcomes of a single stage of an experiment is 4,

If each stage has 4 sample outcomes, then 3 stages will have in total

4x4x4 = 64

Sample space for all the 3 stages = 64

Option C) 64 is right

The total number of elements in the sample space if the experiment has 3 stages is 64

Step-by-step explanation:

The answer is C.

According to the given statement the number of equally likely sample outcomes of a single stage of an experiment is 4

To find the total number of elements in the sample space if the experiment has 3 stages, we just simply multiply 4 three times.

4³ = 4*4*4

= 64

Therefore the total number of elements in the sample space if the experiment has 3 stages is 64

It was 7

Step-by-step explanation:

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.

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.

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)

Hopefully it helps.the answer is 64 by multiplying 4 three times.

a

Step-by-step explanation:

Outcomes^elements = 4³ = 64