Find the probability that when a hand of 7 cards is dealt from a well-shuffled deck of 52 cards, it contains (i) all 4 kings (ii) exactly 3 kings (iii) at least 3 kings.

Explanation

To solve the problem, we will break it down into three parts as specified in the question.

### Part (i): Probability of getting all 4 kings in a hand of 7 cards

1. **Determine the total number of ways to choose 7 cards from 52 cards:**
\[ \text{Total ways} = \binom{52}{7} \]
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