Geometry

Question Analysis
This question involves calculating the probability of mutually exclusive events within the context of card - drawing.
The main focus is on recognizing that a card cannot be both a red face card and a black ace simultaneously, making these two events mutually exclusive, and then applying the addition rule for mutually exclusive events, , to find the probability of drawing either a red face card or a black ace.

Key Concept Explanation
Mutually exclusive events in the context of card - drawing mean that the two events (drawing a red face card and drawing a black ace) have no common outcomes.
In a standard deck of 52 cards, red face cards are the Jack, Queen, and King of hearts and diamonds (6 cards in total), and black aces are the Ace of spades and Ace of clubs (2 cards in total).
Since no card can be both a red face card and a black ace, we can use the addition rule to find the combined probability of these two events.

Step - by - Step Solution
Determine the number of favorable outcomes for each event:
The number of red face cards in a deck is 6, so the probability of drawing a red face card, .
The number of black aces in a deck is 2, so the probability of drawing a black ace,

Click "Show Answer" to reveal the answer and analysis