Um A contains 2 red marbles and 1 blue marble. Um B contains 1 red marble and 2 blue marbles. Each um is equally likely to be selected. When an um is selected, each of the 3 marbles contained in the urm are equally likely to be drawn. Phoebe randomly selects one urm and randomly draws a marble from the selected urn. If the marble is blue, what is the probability that the selected urn is um B?

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Um A contains 2 red marbles and 1 blue marble. Um B contains 1 red marble and 2 blue marbles.
Each um is equally likely to be selected. When an un is selected, each of the 3 marbles contained
in the urm are equally likely to be drawn. Phoebe randomly selects one urm and randomly draws a
marble from the selected urn. If the marble is blue, what is the probability that the selected urn is
um B?
O 4/5
O 1/6
O 1/5
O 1/3
O 2/3
O 1/2
Transcribed Image Text:Um A contains 2 red marbles and 1 blue marble. Um B contains 1 red marble and 2 blue marbles. Each um is equally likely to be selected. When an un is selected, each of the 3 marbles contained in the urm are equally likely to be drawn. Phoebe randomly selects one urm and randomly draws a marble from the selected urn. If the marble is blue, what is the probability that the selected urn is um B? O 4/5 O 1/6 O 1/5 O 1/3 O 2/3 O 1/2
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