An elementary school is offering 3 languageclasses: one in

Chapter 2, Problem 12

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An elementary school is offering 3 languageclasses: one in Spanish, one in French, and one inGerman. The classes are open to any of the 100students in the school. There are 28 students in theSpanish class, 26 in the French class, and 16 in theGerman class. There are 12 students that are inboth Spanish and French, 4 that are in both Spanishand German, and 6 that are in both French andGerman. In addition, there are 2 students takingall 3 classes.(a) If a student is chosen randomly, what is theprobability that he or she is not in any of thelanguage classes?(b) If a student is chosen randomly, what is theprobability that he or she is taking exactly onelanguage class?(c) If 2 students are chosen randomly, what is theprobability that at least 1 is taking a languageclass?

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