An urn contains 4 white and 6 red balls. Four balls are drawn at random from the urn. Find the probability distribution of the number of white balls.

Explanation

To find the probability distribution of the number of white balls drawn from an urn containing 4 white and 6 red balls when 4 balls are drawn at random, we can follow these steps:

### Step 1: Define the Random Variable
Let \( X \) be the random variable representing the number of white balls drawn. The possible values of \( X \) are \( 0, 1, 2, 3, \) and \( 4 \).

### Step 2: Calculate Total Ways to Draw 4 Balls
The total number of ways to choose 4 balls from 10 (4 white + 6 red) is given by the combination formula:
\[
...