Geometry

Question Analysis
This question involves using a Venn Diagram to determine the probability of a specific compound event.
The main focus is on precisely identifying the relevant region in the Venn Diagram that represents athletes skilled in sprinting and hurdling but not long - distance running, and then calculating the probability based on the number of athletes in that region and the total number of athletes.

Key Concept Explanation
The probability formula, where the probability of an event is the number of favorable outcomes divided by the total number of outcomes, is applied here.
In the Venn Diagram, the “S and U only” region represents the favorable outcomes for this event, and the sum of all the numbers in the Venn Diagram gives the total number of outcomes.

Step - by - Step Solution
Identify the number of favorable outcomes: The “S and U only” region has 8 athletes, which are the ones skilled in sprinting and hurdling but not long - distance running.
Calculate the total number of athletes: Add up all the numbers in the Venn Diagram: