Having endured and survived the mental trauma that comes from taking two years of chemistry, a year of physics, and a year of biology, Bill decides to test the medical school waters and sends his applications to two colleges X and Y. Based on how his friends have fared, he estimates that his probability of being accepted at X is 0.7, and at Y is 0.4. He also suspects that there is a 75% chance at least one of his applications will be rejected. What is the probability that Bill was accepted at College Y given that he was accepted at College X?

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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Having endured and survived the mental trauma
that comes from taking two years of chemistry, a
year of physics, and a year of biology, Bill decides to
test the medical school waters and sends his
applications to two colleges X and Y. Based on how
his friends have fared, he estimates that his
probability of being accepted at X is 0.7, and at Y is
0.4. He also suspects that there is a 75% chance at
least one of his applications will be rejected. What is
the probability that Bill was accepted at College Y
given that he was accepted at College X?
Transcribed Image Text:Having endured and survived the mental trauma that comes from taking two years of chemistry, a year of physics, and a year of biology, Bill decides to test the medical school waters and sends his applications to two colleges X and Y. Based on how his friends have fared, he estimates that his probability of being accepted at X is 0.7, and at Y is 0.4. He also suspects that there is a 75% chance at least one of his applications will be rejected. What is the probability that Bill was accepted at College Y given that he was accepted at College X?
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