An elementary school is offering 3 language classes: one in Spanish, one in French, and one in German. The classes are open to any of the 100 students in the school. There are 28 students in the Spanish class, 26 in the French class, and 16 in the German class. There are 12 students who are in both Spanish and French, 4 who are in both Spanish and German, and 6 who are in both French and German. In addition, there are 2 students taking all 3 classes. C.) If 2 students are chosen randomly, what is the probability that at least 1 is taking a language class? I'm struggling with this one because "At least" implies greater than or equal to, but when I try doing P(X=1) + P(X=2) => (94/100)+(94/100)*(93/99) which violates the axioms of Probability. I've considered using a standard counting technique, but I'm struggling with that as 100 Choose 2 is 4095...
An elementary school is offering 3 language classes: one in Spanish, one in French, and one in German. The classes are open to any of the 100 students in the school. There are 28 students in the Spanish class, 26 in the French class, and 16 in the German class. There are 12 students who are in both Spanish and French, 4 who are in both Spanish and German, and 6 who are in both French and German. In addition, there are 2 students taking all 3 classes.
C.) If 2 students are chosen randomly, what is the
I'm struggling with this one because "At least" implies greater than or equal to, but when I try doing P(X=1) + P(X=2) => (94/100)+(94/100)*(93/99) which violates the axioms of Probability.
I've considered using a standard counting technique, but I'm struggling with that as 100 Choose 2 is 4095...
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