A man has 2 shirts (one white and one blue) and 2 ties (red and silver). If he wears the white shirt, he chooses the red tie with probability 0.4. if he wears the blue shirt, he chooses the red tie with probability 0.75. the probability that he wears the white shirt is 0.7.    A.) Find the probability that he wears the red tie. B.) Given that he is wearing a red tie, find the probability that he picked the blue shirt?

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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A man has 2 shirts (one white and one blue) and 2 ties (red and silver). If he wears the white shirt, he chooses the red tie with probability 0.4. if he wears the blue shirt, he chooses the red tie with probability 0.75. the probability that he wears the white shirt is 0.7. 

 

A.) Find the probability that he wears the red tie.

B.) Given that he is wearing a red tie, find the probability that he picked the blue shirt?

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