2. Suppose you are planning to build a fence for your backyard. You have a long piece of land with a fixed length L. You want to place two fence posts on opposite sides of the midpoint of the land. The positions of the fence posts are chosen randomly, such that one post is uniformly distributed over the first half of the land, and the other post is uniformly distributed over the second half of the land. What is the probability that the distance between the two fence posts is greater than one-third of the total length of the land? (Assume that placing one fence is independent of the other)

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