Two cards are drawn successively with replacement from a well shuffled deck of 52 cards. Find the mean and standard deviation of the number of aces.

Explanation

To solve the problem of finding the mean and standard deviation of the number of aces drawn when two cards are drawn successively with replacement from a well-shuffled deck of 52 cards, we can follow these steps:

### Step 1: Define the Random Variable
Let \( X \) be the random variable representing the number of aces drawn in two draws. The possible values of \( X \) are 0, 1, and 2.

### Step 2: Calculate the Probabilities
1. **Probability that \( X = 0 \)** (both cards are non-aces):
- The probability of drawing a non-ace in one draw is \( \frac{48}{52} = \frac{12}{13} \).
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