The Venn Diagram below represents a deck of cards, where Event X = "red cards" (hearts and diamonds) and Event Y = "ace cards". What is the probability of drawing a card that is red AND an ace?
Options
A
B
C
D
Answer & Analysis
Answer
A
Analysis
Question Analysis
This question focuses on identifying the intersection of two events in a Venn Diagram: red cards and aces.
The main concept is recognizing that the intersection represents cards that satisfy both conditions.
Key Concept Explanation
In a deck, red cards (X) are 26 (13 hearts, 13 diamonds).
Aces (Y) are 4 (1 in each suit).
The intersection (X ∩ Y) are the red aces: Ace of Hearts and Ace of Diamonds, totaling 2 cards.
The probability of an event is calculated as the number of favorable outcomes divided by the total number of outcomes.
Step-by-Step Solution
Identify the intersection region: X ∩ Y = 2 (red aces)
Probability:
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