Question #6439853Single Choice
Geometry
Question
In a deck of 52 cards, what is the probability of drawing a king or a queen?
Options
A
B
C
D
Answer & Analysis
Answer
B
Analysis
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 king and a queen 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 king or a queen.
Key Concept Explanation
Mutually exclusive events in the case of card - drawing mean that the two events (drawing a king and drawing a queen) have no overlapping outcomes.
In a standard deck of 52 cards, there are 4 kings and 4 queens, and no card can be both a king and a queen.
So, 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 kings in a deck is 4, so the probability of drawing a king, .
The number of queens in a deck is 4, so the probability of drawing a queen,
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 king and a queen 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 king or a queen.
Key Concept Explanation
Mutually exclusive events in the case of card - drawing mean that the two events (drawing a king and drawing a queen) have no overlapping outcomes.
In a standard deck of 52 cards, there are 4 kings and 4 queens, and no card can be both a king and a queen.
So, 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 kings in a deck is 4, so the probability of drawing a king, .
The number of queens in a deck is 4, so the probability of drawing a queen,
Want More Practice Questions?
Access thousands of practice questions with detailed explanations on Scholardog.
Practice Now - It's Free!