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

Answer

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

### Step-by-Step Solution:

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

2. **Identify the Number of Red Cards**:
In a standard deck, there are two colors: red and black. The red cards consist of hearts and diamonds. Each suit has 13 cards, so:
\[ \text{Number of red cards} = 13 \, (\text{hearts}) + 13 \, (\text{diamonds}) = 26 \, \text{red cards} \]

3. **Calculate the Probability**:
The probability (P) of drawing a red card can be calculated using the formula:
\[ P(\text{red card}) = \frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}} \]
Here, the number of favorable outcomes is the number of red cards (26), and the total number of outcomes is the total number of cards (52):
\[ P(\text{red card}) = \frac{26}{52} \]

4. **Simplify the Fraction**:
We can simplify the fraction:
\[ P(\text{red card}) = \frac{26 \div 26}{52 \div 26} = \frac{1}{2} \]

5. **Conclusion**:
Therefore, the probability of drawing a red card from a standard deck of 52 cards is:
\[ P(\text{red card}) = \frac{1}{2} \]