9. You draw three cards from a deck of cards. Explain the difference in the probability of drawing three kings from the deck if you pull and replace the card versus you pull and don't replace the card.

1. **With Replacement:**
- Calculate the probability of drawing a king each time with replacement.
- Each time, the probability of a king is \frac{4}{52} .
- Thus, the combined probability for three draws is:
\left( \frac{4}{52} \right) \times \left( \frac{4}{52} \right) \times \left( \frac{4}{52} \right) = \left( \frac{1}{13} \right)^3 = \frac{1}{2197} .

2. **Without Replacement:**
- Calculate the probability of drawing a king each time without replacement.
- First draw: \frac{4}{52} .
- Second draw: \frac{3}{51} since one king is gone.
- Third draw: \frac{2}{50} since two kings are gone.
- Thus, the combined probability for three draws is:
\frac{4}{52} \times \frac{3}{51} \times \frac{2}{50} = \frac{24}{132600} = \frac{1}{5525} .

3. **Answer:**
- Probability with replacement: \frac{1}{2197}
- Probability without replacement: \frac{1}{5525}