All patients suspected of having a particular type of cancer are tested by two separate labs. The probability that Lab A produces a positive test for any patient with cancer is 0.39, whereas Lab B is 0.35. If the probability that both labs simultaneously produce a positive test for any patient with cancer is 0.07, what is the probability at least one lab will produce a positive test? Round your answer to four decimal places.

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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All patients suspected of having a particular type of cancer are tested by two separate labs.
The probability that Lab A produces a positive test for any patient with cancer is 0.39,
whereas Lab B is 0.35. If the probability that both labs simultaneously produce a positive
test for any patient with cancer is 0.07, what is the probability at least one lab will produce a
positive test? Round your answer to four decimal places.
Transcribed Image Text:All patients suspected of having a particular type of cancer are tested by two separate labs. The probability that Lab A produces a positive test for any patient with cancer is 0.39, whereas Lab B is 0.35. If the probability that both labs simultaneously produce a positive test for any patient with cancer is 0.07, what is the probability at least one lab will produce a positive test? Round your answer to four decimal places.
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