Geometry

Question Analysis
This question involves using a Venn Diagram to calculate the probability of a compound event (union) in the context of a deck of cards.
The main focus is on applying the principle of inclusion-exclusion to avoid double-counting the intersection of face cards and hearts.

Key Concept Explanation
We need to find the union of the “face cards only” and “hearts only” and “face cards and hearts” regions .
The probability of an event is calculated as the number of favorable outcomes divided by the total number of outcomes.

Step-by-Step Solution
Calculate :
Only A: 9, Only B: 10, A ∩ B: 3

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