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
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Counting And Probability
Section9.3: Binomial Probability
Problem 2E: If a binomial experiment has probability p success, then the probability of failure is...
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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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