Urn A has three red balls and two white balls, and urn B has two red balls and five white balls. A fair coin is tossed. If it lands heads up, a ball is drawn from urn A; otherwise, a ball is drawn from urn B. (a) What is the probability that a red ball is drawn? (b) If a red ball is drawn, what is the probability that the coin landed heads up?

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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Urn A has three red balls and two white balls, and urn B has two red balls and five white balls. A fair coin
is tossed. If it lands heads up, a ball is drawn from urn A; otherwise, a ball is drawn from urn B.
(a) What is the probability that a red ball is drawn?
(b) If a red ball is drawn, what is the probability that the coin landed heads up?
Transcribed Image Text:Urn A has three red balls and two white balls, and urn B has two red balls and five white balls. A fair coin is tossed. If it lands heads up, a ball is drawn from urn A; otherwise, a ball is drawn from urn B. (a) What is the probability that a red ball is drawn? (b) If a red ball is drawn, what is the probability that the coin landed heads up?
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