If a number x is chosen at random from the number `-2, -1, 0, 1, 2.` What is the probability that `x^(2)lt2`?

Explanation

To solve the problem, we need to find the probability that \( x^2 < 2 \) when \( x \) is chosen randomly from the set of numbers \(-2, -1, 0, 1, 2\).

### Step-by-Step Solution:

1. **Identify the Sample Space**:
The sample space consists of the numbers from which \( x \) can be chosen:
\[
S = \{-2, -1, 0, 1, 2\}
...