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
Related questions
Question
![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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3a17504a-04b0-4931-abad-b404b41c316b%2Fa71426b7-7a00-4397-9284-ff1a57a94db1%2Frc5wncl_processed.jpeg&w=3840&q=75)
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
Expert Solution
![](/static/compass_v2/shared-icons/check-mark.png)
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 2 steps with 2 images
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)
Recommended textbooks for you
![Advanced Engineering Mathematics](https://www.bartleby.com/isbn_cover_images/9780470458365/9780470458365_smallCoverImage.gif)
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
![Numerical Methods for Engineers](https://www.bartleby.com/isbn_cover_images/9780073397924/9780073397924_smallCoverImage.gif)
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
![Introductory Mathematics for Engineering Applicat…](https://www.bartleby.com/isbn_cover_images/9781118141809/9781118141809_smallCoverImage.gif)
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
![Advanced Engineering Mathematics](https://www.bartleby.com/isbn_cover_images/9780470458365/9780470458365_smallCoverImage.gif)
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
![Numerical Methods for Engineers](https://www.bartleby.com/isbn_cover_images/9780073397924/9780073397924_smallCoverImage.gif)
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
![Introductory Mathematics for Engineering Applicat…](https://www.bartleby.com/isbn_cover_images/9781118141809/9781118141809_smallCoverImage.gif)
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
![Mathematics For Machine Technology](https://www.bartleby.com/isbn_cover_images/9781337798310/9781337798310_smallCoverImage.jpg)
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
![Basic Technical Mathematics](https://www.bartleby.com/isbn_cover_images/9780134437705/9780134437705_smallCoverImage.gif)
![Topology](https://www.bartleby.com/isbn_cover_images/9780134689517/9780134689517_smallCoverImage.gif)