A small treasure chest contains two drawers. Drawer I contains three gold and four silver coins and drawer II contains five silver and three gold coins. A drawer is randomly selected and from that drawer two coins are chosen at random (and without replacement). (a) What is the probability that the selected coins are gold and silver? (b) Given that the selected coins are gold and silver, what is the probability they came from drawer I?

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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A small treasure chest contains two drawers. Drawer I contains three gold and
four silver coins and drawer II contains five silver and three gold coins. A drawer
is randomly selected and from that drawer two coins are chosen at random (and
without replacement).
(a) What is the probability that the selected coins are gold and silver?
(b) Given that the selected coins are gold and silver, what is the probability they
came from drawer I?

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