A card is drawn from a pack of cards. Find the probability that:
it is a card of spades.

Answer

To find the probability of drawing a card of spades from a standard deck of cards, follow these steps:

### Step-by-Step Solution:

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

2. **Identify the Number of Favorable Outcomes**:
In a deck of cards, 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. **Calculate the Probability**:
The probability of an event is calculated using the formula:
\[ \text{Probability} = \frac{\text{Number of Favorable Outcomes}}{\text{Total Number of Outcomes}} \]
Here, the number of favorable outcomes (spades) is 13, and the total number of outcomes (total cards) is 52. So, the probability of drawing a spade is:
\[ \text{Probability} = \frac{13}{52} \]

4. **Simplify the Fraction**:
To simplify \(\frac{13}{52}\):
\[ \frac{13}{52} = \frac{1}{4} \]

5. **Conclusion**:
Therefore, the probability of drawing a card of spades from a deck of cards is \(\frac{1}{4}\).