A card is drawn at random from a well shuffled deck of 52 playing cards. What is the probability of getting a black king?

Answer

To find the probability of drawing a black king from a well-shuffled deck of 52 playing cards, we can follow these steps:

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

### Step 2: Identify the number of favorable outcomes
In a deck of cards, there are two black suits: spades and clubs. Each of these suits has one king:
- King of Spades
- King of Clubs

Thus, the total number of black kings in the deck is 2.

### Step 3: Calculate the probability
Probability is calculated using the formula:

\[ \text{Probability} = \frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}} \]

In this case:
- Number of favorable outcomes (black kings) = 2
- Total number of outcomes (total cards) = 52

So, the probability of drawing a black king is:

\[ \text{Probability} = \frac{2}{52} \]

### Step 4: Simplify the fraction
To simplify \(\frac{2}{52}\):

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

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

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