2. College allow the 8th level students two exams (attempts) for the exit exam and consider the best mark. Suppose 30% of the students fail in the first exam (FE), 20% of students fail in the second exam (SE), and 10% of students fail on both exams (FENSE). If an 8th level student is randomly chosen, then what is the probability that this student (a) Fails at least one of the exam? (b) Only fails the first exam, but not the second exam? (c) Successfully passes both the exams? (d) Fails any of the exam?

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.8: Probabilities Of Disjoint And Overlapping Events
Problem 2C
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2. College allow the 8th level students two exams (attempts) for the exit exam and consider
the best mark. Suppose 30% of the students fail in the first exam (FE), 20% of students
fail in the second exam (SE), and 10% of students fail on both exams (FENSE). If an
8th level student is randomly chosen, then what is the probability that this student
(a) Fails at least one of the exam?
(b) Only fails the first exam, but not the second exam?
(c) Successfully passes both the exams?
(d) Fails any of the exam?
Transcribed Image Text:2. College allow the 8th level students two exams (attempts) for the exit exam and consider the best mark. Suppose 30% of the students fail in the first exam (FE), 20% of students fail in the second exam (SE), and 10% of students fail on both exams (FENSE). If an 8th level student is randomly chosen, then what is the probability that this student (a) Fails at least one of the exam? (b) Only fails the first exam, but not the second exam? (c) Successfully passes both the exams? (d) Fails any of the exam?
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