What is the conditional probability that the coin was minted after 1900, given that it is rare

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 7ECP: You draw one card at random from a standard deck of 52 playing cards. What is the probability that...
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Gabriel collects coins. He has 25 coins that were minted prior to 1900, and 8 of those coins are rare. He has 300 coins that were minted after 1900, and 14 are rare. What is the conditional probability that the coin was minted after 1900, given that it is rare? Round to the nearest hundredth.

 

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