Origin between two points

EasyProbability~3m

Two points are chosen independently and uniformly on the interval $[-1, 2]$ . What is the probability that the origin ( $0$ ) lies strictly between them?

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The origin is between them iff one point is $<0$ and the other $>0$ .
$\mathbb{P}(U<0)=1/3$ , $\mathbb{P}(U>0)=2/3$ ; account for both orderings.

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0.4444 (± 0.001)

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Asked at: Optiver, SIG

Origin between two points

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