To solve for the probability that an adult rode the Ferris Wheel, [tex]\( P(\text{adult rode the Ferris Wheel}) \)[/tex], we should use the data presented in the table.
Here's the step-by-step procedure:
1. Identify the total number of adults:
From the table, the total number of adults is 168.
2. Identify the number of adults who rode the Ferris Wheel:
From the table, the number of adults who rode the Ferris Wheel is 126.
3. Calculate the probability [tex]\( P(\text{adult rode the Ferris Wheel}) \)[/tex]:
The probability is computed by dividing the number of adults who rode the Ferris Wheel by the total number of adults.
[tex]\[
P(\text{adult rode the Ferris Wheel}) = \frac{\text{Number of adults who rode the Ferris Wheel}}{\text{Total number of adults}} = \frac{126}{168}
\][/tex]
4. Simplify the fraction:
Divide both the numerator and the denominator by their greatest common divisor (simplifies to [tex]\(\frac{3}{4}\)[/tex]):
[tex]\[
P(\text{adult rode the Ferris Wheel}) = \frac{126}{168} = 0.75
\][/tex]
Therefore, based on the data in the table, the approximate value of [tex]\( P(\text{adult rode the Ferris Wheel}) \)[/tex] is 0.750. The correct answer is:
D. [tex]\( 0.750 \)[/tex]
