Every student in an international school takes at least one of three foreign language classes. Twenty-nine students take French, 40 students take German, and 31 students take Chinese. There are 18 students who take both German and French, 12 take both Chinese and French, and 15 take German and Chinese. Only 5 students take all three. (a) Find the probability that a randomly selected student does not take German. (b) Find the probability that a randomly selected student is taking exactly one language class. (c) Find the probability that a student who takes German also takes Chinese.

Every student in an international school takes at least one of three foreign language classes. Twenty-nine students take French, 40 students take German, and 31 students take Chinese. There are 18 students who take both German and French, 12 take both Chinese and French, and 15 take German and Chinese. Only 5 students take all three. (a) Find the probability that a randomly selected student does not take German. (b) Find the probability that a randomly selected student is taking exactly one language class. (c) Find the probability that a student who takes German also takes Chinese.

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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