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counting and probability intermediate

Problem

To take quizzes, each of 30 students in a class is paired with another student. If the pairing is done randomly, what is the probability that Margo is paired with her best friend, Irma? Express your answer as a common fraction.
Solution
Among the 29 equally likely possibilities for Margo's partner, Irma is one of them. Therefore, the probability that Margo's partner is Irma is .
Final answer
\frac{1}{29}