The table shown gives the languages studied by 400 students at a small college: Freshmen Sophomores Juniors Seniors Total Spanish 50 35 33 29 147 French 40 40 39 37 156 Chinese 20 25 28 24 97 Total 110 100 100 90 400 Find each of the following, giving your answer as a fraction. a. What is the probability that a randomly selected student is a freshman in Spanish class? b. What is the probability that a randomly selected student is in a French class? c. What is the probability that a randomly selected sophomore is taking French? d. A randomly selected student is known to be taking Spanish. What is the probability that the student is a freshman? e. What is the probability that a randomly selected student who is taking Chinese is also a senior?

The table shown gives the languages studied by 400 students at a small college: Freshmen Sophomores Juniors Seniors Total Spanish 50 35 33 29 147 French 40 40 39 37 156 Chinese 20 25 28 24 97 Total 110 100 100 90 400 Find each of the following, giving your answer as a fraction. a. What is the probability that a randomly selected student is a freshman in Spanish class? b. What is the probability that a randomly selected student is in a French class? c. What is the probability that a randomly selected sophomore is taking French? d. A randomly selected student is known to be taking Spanish. What is the probability that the student is a freshman? e. What is the probability that a randomly selected student who is taking Chinese is also a senior?

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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Concept explainers

Counting Principles

In statistics, the counting principle can be said to be the concept in which the quantity of an item is determined. There can be a single item, or a group of items, or items that are related to each other. In every possible set of items, the quantity of the possible item groups or their sorting measures can be determined with counting principles.

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The table shown gives the languages studied by 400 students at a small college:

	Freshmen	Sophomores	Juniors	Seniors	Total
Spanish	50	35	33	29	147
French	40	40	39	37	156
Chinese	20	25	28	24	97
Total	110	100	100	90	400

Find each of the following, giving your answer as a fraction.

a. What is the probability that a randomly selected student is a freshman in Spanish class?

b. What is the probability that a randomly selected student is in a French class?

c. What is the probability that a randomly selected sophomore is taking French?

d. A randomly selected student is known to be taking Spanish. What is the probability that the student is a freshman?

e. What is the probability that a randomly selected student who is taking Chinese is also a senior?

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