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An elementary school is offering 3 language classes: one in Spanish, one in French, and one...

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An elementary school is offering 3 language classes: one inSpanish, one in French, and one in German. These classes are opento any of the 89 students in the school. There are 41 in theSpanish class, 31 in the French class, and 22 in the German class.There are 15 students that in both Spanish and French, 7 are inboth Spanish and German, and 9 are in both French and German. Inaddition, there are 4 students taking all 3 classes.

If one student is chosen randomly, what is the probability thathe or she is taking at least one language class?

If two students are chosen randomly, what is the probabilitythat neither of them is taking a language class?

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