a) If one student is chosen randomly, what is the probability that he or she is taking at least two language classes? b) If two students are chosen randomly, what is the probability that at least one of them is taking German?

a) If one student is chosen randomly, what is the probability that he or she is taking at least two language classes? b) If two students are chosen randomly, what is the probability that at least one of them is taking German?

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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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 83 students in the school. There are 35 in the Spanish class, 33 in the French class, and 20 in the German class. There are 16 students that in both Spanish and French, 6 are in both Spanish and German, and 9 are in both French and German. In addition, there are 4 students taking all 3 classes.

a) If one student is chosen randomly, what is the probability that he or she is taking at least two language classes?
b) If two students are chosen randomly, what is the probability that at least one of them is taking German?

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