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(7) A ferry arrives at a terminal predictably at half past every hour (so at 2.30, 3.30, 4.30 and so on...). Alice arrives at the

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(7) A ferry arrives at a terminal predictably at half past every hour (so at 2.30, 3.30, 4.30 and so on...). Alice arrives at the terminal at a uniform random time between 4pm and 4.30pm, and then she stays there for exactly 20 minutes. Find the probability that she catches the ferry

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