# Let a, b, and c be three strictly positive real numbers. Two sub-intervals of the interval (0, a + b

###### Question:

$Let a, b, and c be three strictly positive real numbers. Two sub-intervals of the interval (0, a + b + c) are chosen at random. One of sub-intervals of length a, and the other of length b. Find the probability that the sub-intervals do not overlap (that is, that their intersection is empty).$

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