Geometry

Question Analysis
This question involves the application of conditional probability using a frequency table that presents data on fitness activity choices based on age groups.
The main focus is on using the conditional probability formula to find the probability of an adult choosing a particular fitness activity given their age group.

Key Concept Explanation
The formula is used to calculate the probability of event (choosing cycling) occurring given that event (being in the 51+ years age group) has occurred.
In the frequency table, the numerator is the frequency of the intersection of the two events, and the denominator is the total frequency of the given age group.

Step-by-Step Solution
Define the events:
Let be the event that an adult chooses cycling.
Let

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