== At a school with total 1600 students, 720 students took Spanish, 320 took Chinese and 880 took at least one of the two. Let S = event that a randomly chosen student took Spanish, and C = event that a student took Chinese. Fill in the 2-way table and answer the questions: S not S C not C 1600 (a) Find the probability that a student took Chinese but not Spanish. (b) Are the events S, C independent? Explain with numbers why or why not.

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 33E: Find the probability of each event. Drawing 5 orange cubes from a bowl containing 5 orange cubes and...
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==
At a school with total 1600 students, 720 students took Spanish, 320
took Chinese and 880 took at least one of the two. Let S = event that
a randomly chosen student took Spanish, and C = event that a student
took Chinese.
Fill in the 2-way table and answer the questions:
S
not S
C
not
C
1600
(a) Find the probability that a student took Chinese but not Spanish.
(b) Are the events S, C independent? Explain with numbers why or
why not.
Transcribed Image Text:== At a school with total 1600 students, 720 students took Spanish, 320 took Chinese and 880 took at least one of the two. Let S = event that a randomly chosen student took Spanish, and C = event that a student took Chinese. Fill in the 2-way table and answer the questions: S not S C not C 1600 (a) Find the probability that a student took Chinese but not Spanish. (b) Are the events S, C independent? Explain with numbers why or why not.
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