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2. A school offers three language classes: Spanish (S), French (F), and German (G). There are 100 students total, of which 28 take S, 26 take F, 16 take G, 12 take both S and F, 4 take both S and G, 6 take both F and G, and 2 take all three languages. (1) Compute the probability that a randomly selected student (a) is not taking any of the three language classes; (b)takes exactly one of the three language classes. (2) Compute the probability that, of two randomly selected students, at least one takes a language class.

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