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Mathematics, 29.01.2021 16:40 benoitjaylewe

An elementary school is offering 3 language classes: one in Spanish, one in French, and one in German. These classes are open to any of the 103 students in the school. There are 37 in the Spanish class, 38 in the French class, and 21 in the German class. There are 17 students that in both Spanish and French, 7 are in both Spanish and German, and 10 are in both French and German. In addition, there are 4 students taking all 3 classes. Required:
a. If a student is chosen randomly, what is the probability that he or she is not in any of the language classes?
b. If a student is chosen randomly, what is the probability that he or she is taking exactly one language class?
c. If 2 students are chosen randomly, what is the probability that at least 1 is taking a language class?

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