Discussion:
In a depressed rustbelt city in Michigan, a newspaper investigative team found that a large majority of the city's youth were unemployed. The team defined youth as any city resident between the ages of 16-21.
Of the population aged 16-21 and not in college, 13.5% are unemployed, 29.05 % are high school dropouts, and 5.32% are unemployed high school dropouts.
What is the conditional probability that a member of this population is unemployed, given that the person is a high school dropout?
Here are the steps to get to the solution.
(a) Define: the event that a person is unemployed
(b) Define: the event that the person is a HS dropout
(c) Provide the three probability statements you can make from this story.