Answer:
0.0000092.
Step-by-step explanation
1. **Total number of ways to choose 5 cards from a deck of 52 cards**:
We use combinations here. Since order doesn't matter when drawing cards, we use the combination formula:
\[ \binom{52}{5} \]
This calculates all possible combinations of choosing 5 cards from a deck of 52.
2. **Number of ways to choose 3 Aces from 4 Aces**:
There are 4 Aces in a deck, and we need to choose 3 of them. Again, we use combinations:
\[ \binom{4}{3} \]
3. **Number of ways to choose 2 Kings from 4 Kings**:
Similarly, there are 4 Kings in a deck, and we need to choose 2 of them:
\[ \binom{4}{2} \]
4. **Calculate the probability**:
To find the probability of getting 3 Aces and 2 Kings, we multiply the number of ways to choose 3 Aces by the number of ways to choose 2 Kings, and then divide by the total number of ways to choose 5 cards from the deck:
\[ P(\text{3 Aces and 2 Kings}) = \frac{\text{Number of ways to choose 3 Aces} \times \text{Number of ways to choose 2 Kings}}{\text{Total number of ways to choose 5 cards}} \]
5. **Calculate the final probability**:
Plug in the values from steps 1-3 and perform the calculations to find the probability.
