One card is draw from a pack of 52 cards being equally likely to be drawn . Find the probability of
the card drawn to be a king

Answer

To find the probability of drawing a king from a standard deck of 52 playing cards, we can follow these steps:

### Step-by-Step Solution:

1. **Identify the Total Number of Cards**:
A standard deck of cards contains 52 cards.

2. **Identify the Number of Kings in the Deck**:
In a standard deck, there are 4 suits: hearts, diamonds, clubs, and spades. Each suit contains one king. Therefore, the total number of kings in the deck is:
\[ \text{Total Kings} = 4 \]

3. **Define the Probability Formula**:
The probability \( P \) of an event is given by the formula:
\[ P(\text{event}) = \frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}} \]

4. **Substitute the Values into the Formula**:
Here, the number of favorable outcomes (drawing a king) is 4, and the total number of outcomes (total cards) is 52. Thus, we can write:
\[ P(\text{drawing a king}) = \frac{4}{52} \]

5. **Simplify the Fraction**:
To simplify \( \frac{4}{52} \), we divide both the numerator and the denominator by their greatest common divisor, which is 4:
\[ P(\text{drawing a king}) = \frac{4 \div 4}{52 \div 4} = \frac{1}{13} \]

6. **Conclusion**:
The probability of drawing a king from a standard deck of 52 cards is:
\[ P(\text{drawing a king}) = \frac{1}{13} \]