[tex]\frac{17}{60}[/tex] and [tex]\frac{1}{4}[/tex] 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
Experimental probabilities from the table:
Probability of getting 1 = [tex]\frac{12}{60}=\frac{1}{5}[/tex]
Probability of getting 2 = [tex]\frac{17}{60}[/tex]
Probability of getting 3 = [tex]\frac{15}{60}=\frac{1}{4}[/tex]
Probability of getting 4 = [tex]\frac{16}{60}=\frac{4}{15}[/tex]
To determine which are the experimental probabilities from the table:
Option A: 15
This is not obtained above. So, it is not the experimental probability.
Option B: [tex]\frac{17}{60}[/tex]
This is obtained in the probability of getting 2.
So, it is the experimental probability.
Option C: [tex]\frac{1}{4}[/tex]
This is obtained in the probability of getting 3.
So, it is the experimental probability.
Option D: [tex]\frac{7}{15}[/tex]
This is not obtained above. So, it is not the experimental probability.
Option E: [tex]\frac{12}{43}[/tex]
This is not obtained above. So, it is not the experimental probability.
Hence [tex]\frac{17}{60}[/tex] and [tex]\frac{1}{4}[/tex] are the experimental probabilities from the table.
