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In the fourth face to face class meeting of Mathematical Statistics, there were present 16 undergraduate students and 4 graduate students. Each student shakes hands

In the fourth face to face class meeting of Mathematical Statistics, there were present 16 undergraduate students and 4 graduate students. Each student shakes hands with all her or his classmates, and the hand shakes are recorded. A handshake is selected at random. What is the probability that this handshake is between two undergraduate students?

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