There are 3 urns containing coins. Urn I contains 5 gold coins, um II contains 3 gold coins and 3 silver coins, and urn III contains 4 silver coins. An umn is selected at random and a coin is drawn from the urn. If the selected coin is gold, what is the probability that um I was selected? (Enter your probabilities as fractions.) Use a probability tree to find the probability. (b) Use Bayes' formula to find the probability.

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.8: Probabilities Of Disjoint And Overlapping Events
Problem 2C
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There are 3 urns containing coins. Urn I contains 5 gold coins, urn II contains 3 gold coins and 3 silver coins, and urn III contains 4 silver coins. An urn is selected at random and a coin is drawn from the urn. If the selected coin is gold, what is the probability that urn I was selected? (Enter your probabilities as fractions.)
(a) Use a probability tree to find the probability.
(b) Use Bayes' formula to find the probability.
Transcribed Image Text:There are 3 urns containing coins. Urn I contains 5 gold coins, urn II contains 3 gold coins and 3 silver coins, and urn III contains 4 silver coins. An urn is selected at random and a coin is drawn from the urn. If the selected coin is gold, what is the probability that urn I was selected? (Enter your probabilities as fractions.) (a) Use a probability tree to find the probability. (b) Use Bayes' formula to find the probability.
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