John has 2 coins, one fair and the other unbalanced so that the probability of its coming up tails is 3/4.  He picks one of the coins at random, tosses it, and it comes up tails. What is the probability that he picked the unbalanced coin? (Enter your probability as a fraction.)

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 70E: Determine if the statement is true or false. If the statement is false, then correct it and make it...
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John has 2 coins, one fair and the other unbalanced so that the probability of its coming up tails is 3/4.

 He picks one of the coins at random, tosses it, and it comes up tails. What is the probability that he picked the unbalanced coin? (Enter your probability as a fraction.)

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