Read the following text and answer the following question on the basis of the same.
On a weekend Rani was playing cards with her family. The deck has 52 cards. If her brother drew one card.
Find the probability of getting a face card

Options

A. `(1)/(26)`
B. `(1)/(52)`
C. `(3)/(52)`
D. `(3)/(13)`

Answer

To solve the problem of finding the probability of drawing a face card from a standard deck of cards, we can follow these steps:

### Step 1: Understand the total number of cards in the deck
A standard deck of cards has a total of 52 cards.

### Step 2: Identify the number of face cards
In a standard deck, the face cards are the Jack, Queen, and King. Each suit (hearts, diamonds, clubs, and spades) has one of each face card. Therefore, the total number of face cards is:
- 3 face cards per suit × 4 suits = 12 face cards.

### Step 3: Calculate the probability
The probability of an event is calculated using the formula:
\[ \text{Probability} = \frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}} \]
In this case:
- Number of favorable outcomes (face cards) = 12
- Total number of outcomes (total cards) = 52

Thus, the probability of drawing a face card is:
\[ \text{Probability} = \frac{12}{52} \]

### Step 4: Simplify the fraction
To simplify \(\frac{12}{52}\), we can divide both the numerator and the denominator by their greatest common divisor (GCD), which is 4:
\[ \frac{12 \div 4}{52 \div 4} = \frac{3}{13} \]

### Final Answer
The probability of getting a face card when one card is drawn from the deck is \(\frac{3}{13}\).

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