A card is drawn from a pack of cards . Find the probability that it is
an ace

Answer

To find the probability of drawing an ace from a standard deck of 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.

**Hint**: Remember that a standard deck consists of 4 suits: hearts, diamonds, clubs, and spades, each containing 13 cards.

2. **Determine the Number of Aces**:
In a standard deck, there are 4 aces (one for each suit: hearts, diamonds, clubs, and spades).

**Hint**: Think about how many suits there are and how many aces are in each suit.

3. **Calculate the Probability**:
The probability of an event is calculated using the formula:
\[ P(A) = \frac{\text{Number of Favorable Outcomes}}{\text{Total Number of Outcomes}} \]
Here, the number of favorable outcomes (drawing an ace) is 4, and the total number of outcomes (total cards) is 52.

**Hint**: Make sure to plug in the correct values into the formula.

4. **Substitute the Values**:
Substitute the values into the probability formula:
\[ P(A) = \frac{4}{52} \]

**Hint**: Simplifying fractions can help you find the final answer more easily.

5. **Simplify the Fraction**:
Simplifying \(\frac{4}{52}\) gives:
\[ P(A) = \frac{1}{13} \]

**Hint**: Remember that both the numerator and the denominator can be divided by 4.

### Final Answer:
The probability of drawing an ace from a standard deck of cards is \(\frac{1}{13}\).