Question: Two points are selected randomly on a line of length \(\mathrm{L}\) so as to be on opposite sides of the midpoint of the line. This means that their joint density function is a constant over the region \(A=(0, L / 2) \times(L / 2, L)\); normalization to 1 defines the constant.

1. Find the probability that the distance between the two points is greater than \(L / 3\).
2. Find the probability that the three line segments of \((0, L)\) formed by the two points can form a triangle (satisfies the triangle inequality).

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