Let \(A=(a,b)\), \(I=(c,d)\) be bounded real intervals with \(A\subseteq I\) and the lengths \(L(A):=|b-a|\), \(L(I):=|d-c|\). A function \(p:A\mapsto [0,1]\) defined by \[p(A)=\frac{L(A)}{L(I)}\] is called a geometric probability.
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