Two cards are drawn simultaneously (without replacement) from a well-shuffled pack of 52 cards. Find the mean and variance of the number of red cards.

Explanation

To find the mean and variance of the number of red cards drawn when two cards are drawn simultaneously from a well-shuffled pack of 52 cards, we can follow these steps:

### Step 1: Define the Random Variable
Let \( X \) be the random variable representing the number of red cards drawn. The possible values of \( X \) are 0, 1, or 2.

### Step 2: Calculate the Probabilities
1. **Calculate \( P(X = 0) \)**:
- This is the probability that both cards drawn are black.
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