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 and a king.

Answer

To find the probability that the card drawn is red and a king, we can follow these steps:

### Step 1: Identify the total number of cards
In a standard deck of cards, there are a total of 52 cards.

**Hint:** Remember that a standard deck consists of 4 suits: hearts, diamonds, clubs, and spades.

### Step 2: Identify the favorable outcomes
We need to find the number of favorable outcomes where the card drawn is both red and a king. In a deck of cards, there are two red kings:
- King of Hearts
- King of Diamonds

Thus, the number of favorable outcomes is 2.

**Hint:** Consider the colors of the suits when identifying the favorable outcomes.

### Step 3: Calculate the probability
The probability \( P \) of an event is given by the formula:
\[ P(\text{Event}) = \frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}} \]

Substituting the values we have:
\[ P(\text{Red and King}) = \frac{2}{52} \]

### Step 4: Simplify the fraction
Now, we simplify the fraction:
\[ P(\text{Red and King}) = \frac{2}{52} = \frac{1}{26} \]

### Final Answer
The probability that the card drawn is red and a king is \( \frac{1}{26} \).

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