Two cards are drawn successively with replacement from a well-shuffled deck of 52 cards. Find the probability distribution of the number of aces.

Explanation

To find the probability distribution of the number of aces 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 attempts. The possible values of \( X \) are \( 0, 1, \) and \( 2 \).

### Step 2: Determine the Total Number of Aces and Non-Aces
In a standard deck of 52 cards:
- Number of aces = 4
...