Let ?D be the event that a student likes dancing and ?A be the event that a student likes athletics.  Suppose that ℙ(??|?)=P(Dc|A)= 0.44, ℙ(?|??)=P(D|Ac)= 0.76, and ℙ(??)=P(Ac)= 0.65.  What is the conditional probability that a student likes athletics given they do not like dancing

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Let ?D be the event that a student likes dancing and ?A be the event that a student likes athletics.  Suppose that ℙ(??|?)=P(Dc|A)= 0.44, ℙ(?|??)=P(D|Ac)= 0.76, and ℙ(??)=P(Ac)= 0.65.  What is the conditional probability that a student likes athletics given they do not like dancing? 

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