Question

A card is drawn from a set of 52 cards. The probability of getting a queen card is:

• A. \( \frac{4}{53} \)
• B. \( \frac{1}{26} \)
• C. \( \frac{1}{13} \)
• D. \( \frac{4}{13} \)

Hint:

To calculate the probability of drawing a specific card from a deck, divide the number of that type of card by the total number of cards in the deck.

Answer 1

The Correct Option is C

Step 1: Understanding the Total Cards and Queen Cards.
A standard deck of cards consists of 52 cards. There are 4 queens in the deck, one from each suit (hearts, diamonds, clubs, and spades). 
Step 2: Probability Formula.
The probability \( P \) of an event is given by the formula: \[ P = \frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}} \] In this case, the number of favorable outcomes is the number of queen cards, which is 4, and the total number of outcomes is the total number of cards, which is 52. 
Step 3: Substituting Values.
The probability of drawing a queen card is: \[ P(\text{Queen}) = \frac{4}{52} \] Simplifying: \[ P(\text{Queen}) = \frac{1}{13} \] 
Step 4: Conclusion.
Thus, the probability of drawing a queen card from a deck of 52 cards is \( \frac{1}{13} \).