An experiment has two stages. In the first stage there are three outcomes A, B, and C, and it is known Pr[A] = Pr[B] = .4. In the second stage, there are two outcomes X and Y and Pr[X|A] = Pr[Y|C] = .3 and Pr[X|B] = .7. What is Pr[Y|A]? Pr[A|Y]? %3D

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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5. An experiment has two stages. In the first stage there are three outcomes A, B, and C, and it is known
Pr[A] = Pr[B] = .4. In the second stage, there are two outcomes X and Y and Pr[X|A] = Pr[Y|C] = .3
and Pr[X|B] = .7. What is Pr[Y|A]? Pr[A|Y]?
Transcribed Image Text:5. An experiment has two stages. In the first stage there are three outcomes A, B, and C, and it is known Pr[A] = Pr[B] = .4. In the second stage, there are two outcomes X and Y and Pr[X|A] = Pr[Y|C] = .3 and Pr[X|B] = .7. What is Pr[Y|A]? Pr[A|Y]?
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