One cards is drawn from a pack of 52 cards , each of the 52 cards being equally like to be drawn . Find the probability that the card drawn is
red

Answer

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

### Step 1: Understand the total number of outcomes
The total number of outcomes when drawing one card from a deck of 52 cards is simply the total number of cards in the deck.

**Total outcomes = 52**

**Hint:** Remember that the total outcomes represent all possible results when drawing one card.

### Step 2: Identify the favorable outcomes
Next, we need to determine how many of those cards are red. In a standard deck of cards, there are 26 red cards (13 hearts and 13 diamonds).

**Favorable outcomes = 26 (red cards)**

**Hint:** Count the number of red cards in a standard deck to find favorable outcomes.

### Step 3: Set up the probability formula
The probability \( P(A) \) of an event \( A \) occurring can be calculated using the formula:

\[ P(A) = \frac{\text{Number of favorable outcomes}}{\text{Total outcomes}} \]

### Step 4: Substitute the values into the formula
Now, we can substitute the values we found into the probability formula:

\[ P(\text{Red card}) = \frac{26}{52} \]

### Step 5: Simplify the fraction
We can simplify the fraction \( \frac{26}{52} \):

\[ P(\text{Red card}) = \frac{1}{2} \]

### Conclusion
Thus, the probability that the card drawn is red is \( \frac{1}{2} \).

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

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