A card is drawn at random from well-shuffled pack of 52 cards. Find the probability of getting a red card.

Answer

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

### Step-by-Step Solution:

1. **Understand the total number of cards**:
A standard deck of cards contains 52 cards.

2. **Identify the number of favorable outcomes**:
In a standard deck, there are two colors of cards: red and black. The red cards consist of hearts and diamonds. Each suit has 13 cards, so:
- Number of red cards = 13 (hearts) + 13 (diamonds) = 26 red cards.

3. **Calculate the probability**:
The probability of an event is given by the formula:
\[ \text{Probability} = \frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}} \]
Here, the number of favorable outcomes (red cards) is 26, and the total number of outcomes (total cards) is 52. Thus, the probability of drawing a red card is:
\[ P(\text{Red Card}) = \frac{26}{52} \]

4. **Simplify the fraction**:
To simplify \(\frac{26}{52}\):
\[ P(\text{Red Card}) = \frac{26 \div 26}{52 \div 26} = \frac{1}{2} \]

5. **Conclusion**:
Therefore, the probability of drawing a red card from a pack of 52 cards is \(\frac{1}{2}\).