Two Kings Probability
1. **Problem Statement:** Find the probability of picking two kings when selecting 2 cards from a standard 52-card deck.
2. **Formula:** The probability of an event is given by
$$\text{Probability} = \frac{\text{Number of favorable outcomes}}{\text{Total number of possible outcomes}}$$
3. **Step 1: Total number of ways to pick 2 cards from 52 cards**
This is a combination problem because the order of selection does not matter.
$$\binom{52}{2} = \frac{52 \times 51}{2 \times 1} = 1326$$
4. **Step 2: Number of favorable outcomes (picking 2 kings)**
There are 4 kings in the deck.
Number of ways to pick 2 kings from 4 kings:
$$\binom{4}{2} = \frac{4 \times 3}{2 \times 1} = 6$$
5. **Step 3: Calculate the probability**
$$\text{Probability} = \frac{6}{1326} = \frac{1}{221} \approx 0.00452$$
6. **Interpretation:** The probability of drawing two kings in a row from a 52-card deck without replacement is approximately 0.00452 or 0.452%.