From a pack of 52 cards, one card is drawn at random. The probability of getting a red card is

Options

A. `(1)/(4)`
B. `(1)/(2)`
C. `(3)/(4)`
D. none of these

Answer

To solve the problem of finding 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 of cards contains a total of 52 cards.
\[ \text{Total cards} = 52 \]

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

3. **Define the Probability Formula**:
Probability is defined as the number of favorable outcomes divided by the total number of outcomes. In this case, the favorable outcome is drawing a red card.
\[ \text{Probability (P)} = \frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}} \]

4. **Substitute the Values into the Probability Formula**:
Here, the number of favorable outcomes (red cards) is 26, and the total number of outcomes (total cards) is 52.
\[ P(\text{Red card}) = \frac{26}{52} \]

5. **Simplify the Fraction**:
We can simplify the fraction \( \frac{26}{52} \) by dividing both the numerator and the denominator by 26:
\[ P(\text{Red card}) = \frac{26 \div 26}{52 \div 26} = \frac{1}{2} \]

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

### Final Answer:
The probability of getting a red card is \( \frac{1}{2} \).

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