An elementary school is offering 3 language classes: one in Spanish, one in Fren

Question

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 89 students in the school. There are 34 in the Spanish class, 34 in the French class, and 17 in the German class. There are 11 students that in both Spanish and French, 4 are in both Spanish and German, and 5 are in both French and German. In addition, there are 2 students taking all 3 classes. If one student is chosen randomly, what is the probability that he or she is taking at least two language classes?If two students are chosen randomly, what is the probability that at least one of them is taking a language class?

Explanation / Answer

probability that a student is taking at least two language classes = 16 / 89 = 0.18

f two students are chosen randomly, what is the probability that at least one of them is taking a language class = 1 (22 / 89)2 = 0.939

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