professor tells students that if they study for the tests, then there is a 55% chance they will get a B or higher on the tests. If they do not study, there is a 20% chance that they will get a B or higher on the tests. The professor knows from prior surveys that 60% of students study for the tests. The probabilities are displayed in the tree diagram. The professor informs the class that there will be a test next week. What is the probability that a randomly selected student studied for the test if they pass it with a B or higher? 0.20 0.55 0.60 0.80

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 62E: Is it possible that P(AB)=P(A)? Explain.
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At the beginning of the semester, a professor tells students that if they study for the tests, then there is a 55% chance they will get a B or higher on the tests. If they do not study, there is a 20% chance that they will get a B or higher on the tests. The professor knows from prior surveys that 60% of students study for the tests. The probabilities are displayed in the tree diagram.

The professor informs the class that there will be a test next week. What is the probability that a randomly selected student studied for the test if they pass it with a B or higher?

0.20
0.55
0.60
0.80
Gets B or
higher
0.55
Studies for
test
Does not
0.6
0.45
get B or
higher
Random
student
Gets B or
0.20
04
Does not
higher
study
for test
Does not
get B or
higher
0.80
Transcribed Image Text:Gets B or higher 0.55 Studies for test Does not 0.6 0.45 get B or higher Random student Gets B or 0.20 04 Does not higher study for test Does not get B or higher 0.80
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