Question 1202962
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Problem 1


Answer: <font color=red>1/5</font> = <font color=red>20%</font>


Reason: There is 1 section we want (yellow) out of 5 sections total. 
This assumes each section is the same area, which leads to each section having equal chance of being landed on. 


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Problem 2


Answer: <font color=red>2/5</font> = <font color=red>40%</font>


Reason: This time there are two sections we want (red and yellow) out of 5 total.


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Problem 3 through 5


I'll let the student do this part. 
Create a physical spinner that you can hold, or go to any website that will provide a digital spinner. 
A random number generator will work as well.


The results of each trial will be different between students. This would mean the results of problems 3 and 4 will be different. 


Experimental probability, aka empirical probability, is when we divide the number of observed cases over the total number of trials.


For example, if you see red come up 5 times out of 40 spins total, then the empirical probability of red would be 5/40 = 1/8 = 0.125 = 12.5%
This is a hypothetical example and not the answer to questions 3 through 5. 


As the name implies, theoretical probability is based on the theory of each space having equal area (and hence each space has equal chance of being landed on). 
In contrast, experimental probability requires the student to do trials/experiments to generate the probability distribution table.


Further Reading
<a href="https://www.statology.org/theoretical-probability/">https://www.statology.org/theoretical-probability/</a>
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