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A group of 60 students is randomly split into 3 classes.

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A group of 60 students is randomly split into 3 classes of equal size. All partitions are equally likely. Jack and Jill are two students belonging to that group. What is the probability that Jack and Jill will end up in the same class?

A) 1/3
B) 19/59
C) 18/58
D) 1/2
E) 1/9

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