An elementary school is offering (3) language Classes one in spanish. in Spanish 6 one in French, and 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 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? H.W - Prove that PCB/A") + P(B²/A²) = 1

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An elementary school. is offering (3) language
Classes one.
4
in Spanish
one in French.
one in German. These classes are open 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 ?
H.Wi.
-Prove that
P(BIA) +P(BIA) = 1
Transcribed Image Text:How An elementary school. is offering (3) language Classes one. 4 in Spanish one in French. one in German. These classes are open 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 ? H.Wi. -Prove that P(BIA) +P(BIA) = 1
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