A card is drawn from a pack of 52 cards. What is probability that is a black king?

Answer

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

### Step-by-Step Solution:

1. **Identify the Total Number of Outcomes**:
- A standard deck of cards contains 52 cards in total.

2. **Identify the Favorable Outcomes**:
- In a deck of cards, there are 2 black kings: the King of Spades and the King of Clubs.

3. **Apply the Probability Formula**:
- The probability of an event is calculated using the formula:
\[ \text{Probability} = \frac{\text{Number of Favorable Outcomes}}{\text{Total Number of Outcomes}} \]

4. **Calculate the Probability**:
- The number of favorable outcomes (black kings) = 2
- The total number of outcomes (total cards) = 52
- Therefore, the probability of drawing a black king is:
\[ \text{Probability} = \frac{2}{52} \]

5. **Simplify the Fraction**:
- Simplifying \(\frac{2}{52}\) gives:
\[ \frac{2 \div 2}{52 \div 2} = \frac{1}{26} \]

6. **Final Answer**:
- The probability of drawing a black king from a standard deck of 52 cards is \(\frac{1}{26}\).