I already know the answer so don't go assuming otherwise lol.
No prize or anything (perhaps some credits if someone gives a thorough answer), but a rather interesting answer if you get it right.
Consider the interval (0, L). A point X is randomly selected on (0, L/2) and a point Y is randomly selected, independent of X, over (L/2, L). Find the probability that the 3 line segments from 0 to X, X to Y, and from Y to L could be made to form the three sides of a triangle.
No prize or anything (perhaps some credits if someone gives a thorough answer), but a rather interesting answer if you get it right.
Consider the interval (0, L). A point X is randomly selected on (0, L/2) and a point Y is randomly selected, independent of X, over (L/2, L). Find the probability that the 3 line segments from 0 to X, X to Y, and from Y to L could be made to form the three sides of a triangle.
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