The probability that a married man watches a certain television show is 0.6, and the probability that a married woman watches the show is 0.7. The probability that a man watches the show, given that his wife does, is 0.8. Complete parts (a) through (c) below. (a) Find the probability that a married couple watches the show. The probability is ☐ (Round to three decimal places as needed.) (b) Find the probability that a wife watches the show, given that her husband does. The probability is. (Round to three decimal places as needed.) (c) Find the probability that at least one member of a married couple watches the show. The probability is. (Round to three decimal places as needed.)

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section: Chapter Questions
Problem 41CT: On a game show, a contestant is given the digits 3, 4, and 5 to arrange in the proper order to form...
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The probability that a married man watches a certain television show is 0.6, and the probability that a married woman
watches the show is 0.7. The probability that a man watches the show, given that his wife does, is 0.8. Complete
parts (a) through (c) below.
(a) Find the probability that a married couple watches the show.
The probability is ☐
(Round to three decimal places as needed.)
(b) Find the probability that a wife watches the show, given that her husband does.
The probability is.
(Round to three decimal places as needed.)
(c) Find the probability that at least one member of a married couple watches the show.
The probability is.
(Round to three decimal places as needed.)
Transcribed Image Text:The probability that a married man watches a certain television show is 0.6, and the probability that a married woman watches the show is 0.7. The probability that a man watches the show, given that his wife does, is 0.8. Complete parts (a) through (c) below. (a) Find the probability that a married couple watches the show. The probability is ☐ (Round to three decimal places as needed.) (b) Find the probability that a wife watches the show, given that her husband does. The probability is. (Round to three decimal places as needed.) (c) Find the probability that at least one member of a married couple watches the show. The probability is. (Round to three decimal places as needed.)
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