Find the probability that when a hand of 7 cards is drawn from a well shuffled deck of 52 cards, it contains (i) all Kings (ii) 3 Kings (iii) atleast 3 Kings.

Explanation

To solve the problem of finding the probability of drawing a hand of 7 cards from a well-shuffled deck of 52 cards that contains (i) all Kings, (ii) 3 Kings, and (iii) at least 3 Kings, we will break it down into three parts.

### Part (i): Probability of all Kings

1. **Determine the number of ways to choose all 4 Kings**:
- We can choose all 4 Kings from the 4 available Kings in only one way:
\[
\text{Ways to choose all Kings} = \binom{4}{4} = 1
...