A card is drawn at random from a well-shuffled pack of 52 cards. Find the probability of getting a red king.

Answer

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

### Step 1: Identify the total number of cards in the deck.
A standard deck of cards contains 52 cards.

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

### Step 2: Determine the number of red cards in the deck.
In a deck, there are 26 red cards (13 hearts and 13 diamonds).

**Hint:** Red cards are either hearts or diamonds.

### Step 3: Identify the number of red kings in the deck.
There are 2 red kings in the deck: one king of hearts and one king of diamonds.

**Hint:** Each suit has one king, and we are only interested in the red suits.

### Step 4: Calculate the probability of drawing a red king.
The probability \( P \) of an event is given by the formula:

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

In this case, the number of favorable outcomes (red kings) is 2, and the total number of outcomes (total cards) is 52.

So, we have:

\[ P(\text{red king}) = \frac{2}{52} \]

### Step 5: Simplify the fraction.
To simplify \( \frac{2}{52} \):

\[ \frac{2}{52} = \frac{1}{26} \]

### Final Answer:
The probability of drawing a red king from a standard deck of cards is \( \frac{1}{26} \).

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