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CMI-2020-DataScience-B: 11

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Two friends Amar and Prem wish to meet at a theme party between $5$ p.m and $6$. p.m (They are said to meet if they are in the room at the same time or if one of them leaves as the other enters). Once they enter, they stay for exactly $20$ minutes.

  1. Fill in the blanks:
  1. The latest time by which any one of them can enter is ______.
  2. If Amar and Prem are to meet, then their entry times can be separated by at most an interval of _______ minutes.
  1. What is the probability that Amar and Prem will meet? (Hint: Plot the arrival times on the x- and y-axes).
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