A Geometric Probability

★ 6/10probability Absolute Value Circles analytic geometry

Problem

Let $f(x) = |1 - x^2|$ . A number $a$ is chosen uniformly from $[0, 1]$ and a number $b$ uniformly from $[1, 2]$ , independently. Find the probability that $f(a) \leqslant f(b)$ .

Answer

Solution

Difficulty	6/10
Topics	probability, Absolute Value, Circles, analytic geometry

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