more breaking sticks

A quick riddle from The Riddler that, when thinned to the actual maths problem, ends up asking for

\mathbb P(\max(U_1,U_2,U_3)=U_3)+\mathbb P(\min(U_1,U_2,U_3)=U_3)

which is equal to 2/3…. Anticlimactic.

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