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

Answer

To find the probability of drawing a red card 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, each with 13 cards.

2. **Determine the Number of Red Cards**:
In a deck, there are 2 red suits: hearts and diamonds. Each suit has 13 cards, so the total number of red cards is:
\[ 13 \text{ (hearts)} + 13 \text{ (diamonds)} = 26 \text{ red cards} \]

**Hint**: Count the cards in each red suit to find the total.

3. **Calculate the Total Possible Outcomes**:
The total possible outcomes when drawing one card from the deck is 52 (the total number of cards).

**Hint**: The total outcomes are simply the total number of cards in the deck.

4. **Determine the Number of Favorable Outcomes**:
The favorable outcomes for this event (drawing a red card) are the 26 red cards identified earlier.

**Hint**: Favorable outcomes are the outcomes that satisfy the condition of the event.

5. **Use the Probability Formula**:
The probability \( P \) of an event is given by the formula:
\[ P(\text{event}) = \frac{\text{Number of favorable outcomes}}{\text{Total possible outcomes}} \]
Substituting the values we have:
\[ P(\text{red card}) = \frac{26}{52} \]

**Hint**: Make sure to substitute the correct numbers into the formula.

6. **Simplify the Probability**:
Simplifying \( \frac{26}{52} \) gives:
\[ P(\text{red card}) = \frac{1}{2} \]

**Hint**: Always simplify fractions to their lowest terms for clarity.

### Final Answer:
The probability that the drawn card is red is \( \frac{1}{2} \).