Question 117
What is the probability that for numbers $x$ and $y$ selected at random from the interval $[-2, 2]$ we have
$$
|x| + |y| \ge 1 \quad \text{and} \quad ||x| - |y|| \le 1?
$$
$$
|x| + |y| \ge 1 \quad \text{and} \quad ||x| - |y|| \le 1?
$$
MathNet 2019-part-02 — 184 problems (EN–VI) Question 117
Math Olympiad Vault · MathNet 2019-part-02 — 184 problems (EN–VI)