Data from the Bureau of Labor Statistics indicates that in a certain month, 38.4% of the labor force had a high school diploma or fewer years of education, 28.1% had some college or an associate's degree, and 33.5% had a bachelor's degree or more education. Of those with a high school diploma or fewer years of education, 9.1% were unemployed. Of those with some college or an associate's degree, 6.7% were unemployed, and of those with a bachelor's degree or more education, 4.2% were unemployed. Find the probability that a randomly chosen labor force participant has a bachelor's degree or more education given that he or she is unemployed. The probability is. (Type an integer or decimal rounded to three decimal places as needed.)

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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Data from the Bureau of Labor Statistics indicates that in a certain month, 38.4% of the labor force had a high school diploma or fewer years of education, 28.1% had some college or an associate's degree, and 33.5% had a bachelor's degree or more education. Of those with a high school diploma or fewer years of education, 9.1% were unemployed. Of those with some college or an associate's degree, 6.7% were unemployed, and of those with a bachelor's degree or more education, 4.2% were unemployed. Find the probability that a randomly chosen labor force participant has a bachelor's degree or more education given that he or she is unemployed.

The probability is ____.
(Type an integer or decimal rounded to three decimal places as needed.)
Transcribed Image Text:Data from the Bureau of Labor Statistics indicates that in a certain month, 38.4% of the labor force had a high school diploma or fewer years of education, 28.1% had some college or an associate's degree, and 33.5% had a bachelor's degree or more education. Of those with a high school diploma or fewer years of education, 9.1% were unemployed. Of those with some college or an associate's degree, 6.7% were unemployed, and of those with a bachelor's degree or more education, 4.2% were unemployed. Find the probability that a randomly chosen labor force participant has a bachelor's degree or more education given that he or she is unemployed. The probability is ____. (Type an integer or decimal rounded to three decimal places as needed.)
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