A psychology teacher teaches two statistics classes back-to-back, lecture L1 at 09:00 am and lecture CL1 at 10 am. Suppose the probability that the instructor gives a good L1 lecture is 0.25. If L1 lecture is good, then CL1 lecture is also good with probability 0.50. However, if L1 lecture is bad, then there is an 90% chance that CL1 lecture will also be bad. a) What proportion of the CL1 lectures are good? b) Suppose CL1 lecture was good. What is the probability that L1 lecture was also good?

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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A psychology teacher teaches two statistics classes back-to-back,
lecture L1 at 09:00 am and lecture CL1 at 10 am. Suppose the
probability that the instructor gives a good L1 lecture is 0.25. If L1
lecture is good, then CL1 lecture is also good with probability 0.50.
However, if L1 lecture is bad, then there is an 90% chance that CL1 lecture will also be bad.
a) What proportion of the CL1 lectures are good?
b) Suppose CL1 lecture was good. What is the probability that L1
lecture was also good?
c) What is the probability that at least one lecture is good (i.e., either
L1 lecture is good or CL1 lecture is good, or both)?

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