A spinner has three sections. The table shows the results of spinning the arrow on the spinner 80 times.

What is the experimental probability of the arrow stopping over Section 2?

Responses

136
1 over 36

118
1 over 18

920
9 over 20

911
9 over 11
Section 1 Section 2 Section 3
20 36 24

1 answer

To find the experimental probability of the arrow stopping over Section 2, you can use the formula for experimental probability:

\[ P(\text{Section 2}) = \frac{\text{Number of times the arrow lands on Section 2}}{\text{Total number of spins}} \]

From the table provided:

  • Number of times the arrow lands on Section 2 = 36
  • Total number of spins = 80

Now, plug the values into the formula:

\[ P(\text{Section 2}) = \frac{36}{80} \]

Next, simplify the fraction:

\[ P(\text{Section 2}) = \frac{36 \div 4}{80 \div 4} = \frac{9}{20} \]

So, the experimental probability of the arrow stopping over Section 2 is:

\(\frac{9}{20}\)

The correct response is:

\(9 \over 20\)