If an experiment is conducted, one and only one of three mutually exclusive events S1, S2, and S3 can occur, with these probabilities: P(S1)=0.2, P(S2)=0.5, P(S3)=0.3. The probabilities of a fourth event A occurring, given that event S1, S2, or S3 occurs, are P(A|S1)=0.02, P(A|S2)=0.01, P(A|S3)=0.03. Find P(S3|A)?

If an experiment is conducted, one and only one of three mutually exclusive events S1, S2, and S3 can occur, with these probabilities: P(S1)=0.2, P(S2)=0.5, P(S3)=0.3. The probabilities of a fourth event A occurring, given that event S1, S2, or S3 occurs, are P(A|S1)=0.02, P(A|S2)=0.01, P(A|S3)=0.03. Find P(S3|A)?

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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