A card is drawn at randown from a well shuffled deck of playing cards. Find the probability that the card drawn is
a red king

Answer

To find the probability of drawing a red king from a well-shuffled deck of playing cards, we can follow these steps:

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

**Hint:** Remember that a standard deck consists of 4 suits: hearts, diamonds, clubs, and spades, with each suit containing 13 cards.

### Step 2: Determine the number of favorable outcomes.
In a deck, there are 2 red kings: one from hearts and one from diamonds.

**Hint:** Consider the colors of the suits in the deck. Red suits are hearts and diamonds.

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

For our case:
- Number of favorable outcomes (red kings) = 2
- Total number of outcomes (total cards) = 52

So, the probability of drawing a red king is:
\[ P(\text{red king}) = \frac{2}{52} \]

### Step 4: Simplify the fraction.
We can simplify the fraction:
\[ P(\text{red king}) = \frac{2}{52} = \frac{1}{26} \]

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

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