and
are the experimental probabilities from the table.
Solution:
Total number of times spun the spinner = 60
Number of times getting 1 = 12
Number of times getting 2 = 17
Number of times getting 3 = 15
Number of times getting 4 = 16
<u>Experimental probabilities from the table:</u>
Probability of getting 1 = ![\frac{12}{60}=\frac{1}{5}](https://tex.z-dn.net/?f=%5Cfrac%7B12%7D%7B60%7D%3D%5Cfrac%7B1%7D%7B5%7D)
Probability of getting 2 = ![\frac{17}{60}](https://tex.z-dn.net/?f=%5Cfrac%7B17%7D%7B60%7D)
Probability of getting 3 = ![\frac{15}{60}=\frac{1}{4}](https://tex.z-dn.net/?f=%5Cfrac%7B15%7D%7B60%7D%3D%5Cfrac%7B1%7D%7B4%7D)
Probability of getting 4 = ![\frac{16}{60}=\frac{4}{15}](https://tex.z-dn.net/?f=%5Cfrac%7B16%7D%7B60%7D%3D%5Cfrac%7B4%7D%7B15%7D)
<u>To determine which are the experimental probabilities from the table:</u>
Option A: 15
This is not obtained above. So, it is not the experimental probability.
Option B: ![\frac{17}{60}](https://tex.z-dn.net/?f=%5Cfrac%7B17%7D%7B60%7D)
This is obtained in the probability of getting 2.
So, it is the experimental probability.
Option C: ![\frac{1}{4}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B4%7D)
This is obtained in the probability of getting 3.
So, it is the experimental probability.
Option D: ![\frac{7}{15}](https://tex.z-dn.net/?f=%5Cfrac%7B7%7D%7B15%7D)
This is not obtained above. So, it is not the experimental probability.
Option E: ![\frac{12}{43}](https://tex.z-dn.net/?f=%5Cfrac%7B12%7D%7B43%7D)
This is not obtained above. So, it is not the experimental probability.
Hence
and
are the experimental probabilities from the table.