Expected Raffle Value

Discrete Mathematics Level 4

A school is running a raffle for two prizes. \(59\) tickets were sold for the raffle, numbered \(1, \ldots, 59\). All the tickets are put into a hat and a teacher picks out two tickets which have numbers \(i\) and \(j\) from the hat. What is the expected value of \(|i - j|\)?

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