A card is drawn from a well shuffled pack of 52 cards . Find the probability of
a spade

Answer

To find the probability of drawing a spade from a well-shuffled deck of 52 cards, we can follow these steps:

### Step-by-Step Solution:

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

2. **Identify the Number of Favorable Outcomes**:
In a standard deck, there are 4 suits: hearts, diamonds, clubs, and spades. Each suit has 13 cards. Therefore, the number of spades in the deck is 13.

3. **Use 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 (spades) is 13, and the total number of outcomes (total cards) is 52. Thus, we can substitute these values into the formula:
\[ P(\text{spade}) = \frac{13}{52} \]

5. **Simplify the Fraction**:
We can simplify \( \frac{13}{52} \):
\[ P(\text{spade}) = \frac{1}{4} \]

6. **State the Final Answer**:
Therefore, the probability of drawing a spade from a well-shuffled deck of 52 cards is:
\[ P(\text{spade}) = \frac{1}{4} \]