An elementary school is offering (3) language Classes one in spanish. one in French, and any one in German. These classes are open to 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 that are in bath Spanish and French, (4) that are in both Spanish and German, and (6) that are in both & French and German. In addition, there are (2) E Students taking all 3 classes. 1. If a student is chosen randomly, what is the probability that he or she is not in any of these classes ? 2. If a student is chosen randomly, what is the probability that he or she is taking exactly one language class ? H.W ~ Prove that PCB/A") + P(B²/A²) = 1
An elementary school is offering (3) language Classes one in spanish. one in French, and any one in German. These classes are open to 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 that are in bath Spanish and French, (4) that are in both Spanish and German, and (6) that are in both & French and German. In addition, there are (2) E Students taking all 3 classes. 1. If a student is chosen randomly, what is the probability that he or she is not in any of these classes ? 2. If a student is chosen randomly, what is the probability that he or she is taking exactly one language class ? H.W ~ Prove that PCB/A") + P(B²/A²) = 1
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:An elementary school is offering (3) language
Classes
and
open
one
in Spanish, one in French,
one in German. These classes are.
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 that are in both
Spanish and French, (4) that are in both
Spanish and German, and (6) that are in both &
French and German. In addition, there are (2) €
Students taking all
3 classes
1. If a student is chosen randomly, what is the
probability that he or she is not in any of
these classes?
2. If a student is chosen randomly, what is
the probability that he or she is taking
exactly. one language class?
How !.
Prove that
P(BIA) + P(B²/A²) = 1
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