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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:
Evaluate the exponent
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:
Evaluate
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:
