Let there be a bag containing 5 white, 4 red and 3 green balls. Three balls are drawn. If X denotes the number of green balls. Exhibit X and write its probability distribution.

Explanation

To solve the problem, we need to find the probability distribution of the random variable \( X \), which represents the number of green balls drawn when three balls are drawn from a bag containing 5 white, 4 red, and 3 green balls.

### Step-by-Step Solution:

1. **Identify the Total Number of Balls:**
\[ \text{Total balls} = 5 \text{ (white)} + 4 \text{ (red)} + 3 \text{ (green)} = 12 \]
...