Mark and Ann set up a meeting for lunch the next day. Each one says that they can make it between 1 pm and 2 pm. They do not set and exact time to meet. If Mark arrives sometime between 1 pm and 2 pm and can only stay for 10 minutes, and Ann arrives sometime between 1 pm and 2 pm and can only stay for 10 minutes, what is the probability that they will meet for lunch? In other words, once Mark or Ann arrives they will only stay for 10min waiting for the other before they leave. Arrival times are in 1minute intervals.

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