Geometry

Question Analysis
This question involves analyzing a Venn Diagram to calculate the probability of a specific compound event.
The main focus is on precisely identifying the relevant region in the Venn Diagram that represents commuters using the subway and the bicycle but not the bus, and then computing the probability based on the number of commuters in that region and the total number of commuters.

Key Concept Explanation
The probability of an event is calculated as the number of favorable outcomes divided by the total number of outcomes.
In the context of the Venn Diagram, the “S and C only” region represents the favorable outcomes for this event.
The total number of outcomes is obtained by summing up all the numbers in the Venn Diagram, which represents the total number of commuters using these transportation modes.

Step - by - Step Solution
Identify the number of favorable outcomes: The “S and C only” region has 8 commuters, which are the ones using the subway and the bicycle but not the bus.
Calculate the total number of commuters: Add up all the numbers in the Venn Diagram: