What is the probability that he/she does not study any of the three languages? (b) What is the probability that he/she studies German? (c) What is the probability that he/she studies only German and English?

What is the probability that he/she does not study any of the three languages? (b) What is the probability that he/she studies German? (c) What is the probability that he/she studies only German and English?

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

1. There are 60 freshman students in a School. 15 of them study only Russian, 11 study both Russian and English, 12 only German, 8 both Russian and German, 10 only English, 5 both English and German and 3 the three languages (Russian, German and English). One student is chosen at random.

(a) What is the probability that he/she does not study any of the three languages?
(b) What is the probability that he/she studies German?
(c) What is the probability that he/she studies only German and English?
(d) What is the probability that he/she studies Russian?
(e) What is the conditional probability that the student would study Russian given that he/she studies German?
(f) What is the conditional probability that the student would study both Russian and English given that he/she studies German?

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