Two cards are drawn without replacement from a well-shuffled deck of 52 cards. Determine the probability distribution of the number of face cards (i.e. Jack, Queen, King and Ace).

Explanation

To solve the problem of determining the probability distribution of the number of face cards drawn from a deck of 52 cards when drawing 2 cards without replacement, we can follow these steps:

### Step 1: Define the Random Variable
Let \( X \) be the random variable representing the number of face cards drawn. The face cards in a standard deck are the Jack, Queen, King, and Ace. There are a total of 16 face cards in the deck (4 of each type).

### Step 2: Identify Possible Values of \( X \)
When drawing 2 cards, the possible values of \( X \) (the number of face cards drawn) can be:
- \( X = 0 \): No face cards drawn.
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