Two valleys are sometimes infected with ee rot. Suppose valley 1 is infected with robability 45%, valley 2 is infected with robability 60%, and the probability that at east one is infected is 85%. Suppose tree rot observed in valley 2. What is the probabil- y that valley 1 is also infected? Your answer hould be a percentage (without the percent ign).

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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Two valleys are sometimes infected with
tree rot. Suppose valley 1 is infected with
probability 45%, valley 2 is infected with
probability 60%, and the probability that at
least one is infected is 85%. Suppose tree rot
is observed in valley 2. What is the probabil-
ity that valley 1 is also infected? Your answer
should be a percentage (without the percent
sign).
Transcribed Image Text:Two valleys are sometimes infected with tree rot. Suppose valley 1 is infected with probability 45%, valley 2 is infected with probability 60%, and the probability that at least one is infected is 85%. Suppose tree rot is observed in valley 2. What is the probabil- ity that valley 1 is also infected? Your answer should be a percentage (without the percent sign).
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