Geometry

Question Analysis
This question involves analyzing a Venn Diagram to determine the probability of a specific compound event.
The main focus is on correctly identifying the relevant region in the Venn Diagram that represents residents subscribing to Hulu and Amazon Prime Video but not Netflix, and then calculating the probability based on the number of elements in that region and the total number of residents.

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 “H and A only” region represents the favorable outcomes for this event, and the sum of all regions in the Venn Diagram gives the total number of outcomes.

Step - by - Step Solution
Identify the number of favorable outcomes: The “H and A only” region has 10 residents, which are the ones subscribing to Hulu and Amazon Prime Video but not Netflix.
Calculate the total number of residents: Add up all the numbers in the Venn Diagram: