The sample space of the outcomes of an event can be represented as a list and on a tree diagram
<h3>The possible quiz answer combination</h3>
From the question, we have:
Questions = 3
Options = 2 (True or False)
So, the number of outcomes in the sample space is calculated as:
![n = 2^3](https://tex.z-dn.net/?f=n%20%3D%202%5E3)
Evaluate the exponent
![n = 8](https://tex.z-dn.net/?f=n%20%3D%208)
Hence, the number of outcomes in the sample space is 8
<h3>The outcomes</h3>
Represent T = True and F = False.
So, the possible outcomes are:
Outcomes = {TTT, TFT, TTF, TFF, FTT, FFT, FTF, FFF}
<h3>The possible answer combinations</h3>
From the question, we have:
2 true or false questions
3 multiple choice questions with 4 options
So, the number of outcomes in the sample space is:
![n = 2^2 * 4^3](https://tex.z-dn.net/?f=n%20%3D%202%5E2%20%2A%204%5E3)
Evaluate
![n = 256](https://tex.z-dn.net/?f=n%20%3D%20256)
Hence, the number of outcomes are in the sample space is 256
<h3>List 5 outcomes</h3>
The possible outcomes are:
Outcomes = {TTTAA, TFTAB, TTFAC, TFFAD, FTTBA}
<h3>The tree diagram</h3>
See attachment
<h3>Possible outcomes are on the tree diagram</h3>
The possible outcomes are on the tree diagram is 8
Read more about sample space and tree diagrams at:
brainly.com/question/14322255