Geometry

Question Analysis
This question involves calculating the probability of non - mutually exclusive events within the context of a standard deck of playing cards.
The main focus is on determining the number of elements in each event, their intersection, and then applying the formula for non - mutually exclusive events.

Key Concept Explanation
For non - mutually exclusive events A and B (where A is drawing a face card and B is drawing a spade), the formula P(A ∪ B) = P(A) + P(B) - P(A ∩ B) is used.
This formula accounts for the overlapping elements between the two events to avoid double - counting.

Step-by-Step Solution
There are 12 face cards in a deck, so P(Face card) = 12/52.
There are 13 spades in a deck, so P(Spade) = 13/52.
Among the spades, there are 3 face cards (jack, queen, king of spades), so P(Face card ∩ Spade) = 3/52.
Using the formula, P(Face card ∪ Spade) = 12/52 + 13/52 - 3/52 = (12 ...